Linear quantile mixed models
Dependent data arise in many studies. Frequently adopted sampling designs, such as cluster, multilevel, spatial, and repeated measures, may induce this dependence, which the analysis of the data needs to take into due account. In a previous publication (Geraci and Bottai in Biostatistics 8:140–154,...
Saved in:
| Published in | Statistics and computing Vol. 24; no. 3; pp. 461 - 479 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Boston
Springer US
01.05.2014
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 0960-3174 1573-1375 1573-1375 |
| DOI | 10.1007/s11222-013-9381-9 |
Cover
| Abstract | Dependent data arise in many studies. Frequently adopted sampling designs, such as cluster, multilevel, spatial, and repeated measures, may induce this dependence, which the analysis of the data needs to take into due account. In a previous publication (Geraci and Bottai in Biostatistics 8:140–154,
2007
), we proposed a conditional quantile regression model for continuous responses where subject-specific random intercepts were included to account for within-subject dependence in the context of longitudinal data analysis. The approach hinged upon the link existing between the minimization of weighted absolute deviations, typically used in quantile regression, and the maximization of a Laplace likelihood. Here, we consider an extension of those models to more complex dependence structures in the data, which are modeled by including multiple random effects in the linear conditional quantile functions. We also discuss estimation strategies to reduce the computational burden and inefficiency associated with the Monte Carlo EM algorithm we have proposed previously. In particular, the estimation of the fixed regression coefficients and of the random effects’ covariance matrix is based on a combination of Gaussian quadrature approximations and non-smooth optimization algorithms. Finally, a simulation study and a number of applications of our models are presented. |
|---|---|
| AbstractList | Dependent data arise in many studies. Frequently adopted sampling designs, such as cluster, multilevel, spatial, and repeated measures, may induce this dependence, which the analysis of the data needs to take into due account. In a previous publication (Geraci and Bottai in Biostatistics 8:140-154, 2007), we proposed a conditional quantile regression model for continuous responses where subject-specific random intercepts were included to account for within-subject dependence in the context of longitudinal data analysis. The approach hinged upon the link existing between the minimization of weighted absolute deviations, typically used in quantile regression, and the maximization of a Laplace likelihood. Here, we consider an extension of those models to more complex dependence structures in the data, which are modeled by including multiple random effects in the linear conditional quantile functions. We also discuss estimation strategies to reduce the computational burden and inefficiency associated with the Monte Carlo EM algorithm we have proposed previously. In particular, the estimation of the fixed regression coefficients and of the random effects' covariance matrix is based on a combination of Gaussian quadrature approximations and non-smooth optimization algorithms. Finally, a simulation study and a number of applications of our models are presented. Dependent data arise in many studies. Frequently adopted sampling designs, such as cluster, multilevel, spatial, and repeated measures, may induce this dependence, which the analysis of the data needs to take into due account. In a previous publication (Geraci and Bottai in Biostatistics 8:140–154, 2007 ), we proposed a conditional quantile regression model for continuous responses where subject-specific random intercepts were included to account for within-subject dependence in the context of longitudinal data analysis. The approach hinged upon the link existing between the minimization of weighted absolute deviations, typically used in quantile regression, and the maximization of a Laplace likelihood. Here, we consider an extension of those models to more complex dependence structures in the data, which are modeled by including multiple random effects in the linear conditional quantile functions. We also discuss estimation strategies to reduce the computational burden and inefficiency associated with the Monte Carlo EM algorithm we have proposed previously. In particular, the estimation of the fixed regression coefficients and of the random effects’ covariance matrix is based on a combination of Gaussian quadrature approximations and non-smooth optimization algorithms. Finally, a simulation study and a number of applications of our models are presented. |
| Author | Geraci, Marco Bottai, Matteo |
| Author_xml | – sequence: 1 givenname: Marco surname: Geraci fullname: Geraci, Marco email: m.geraci@ucl.ac.uk organization: Centre for Paediatric Epidemiology and Biostatistics, MRC Centre of Epidemiology for Child Health, Institute of Child Health, University College London – sequence: 2 givenname: Matteo surname: Bottai fullname: Bottai, Matteo organization: Unit of Biostatistics, Institute of Environmental Medicine, Karolinska Institutet |
| BackLink | http://kipublications.ki.se/Default.aspx?queryparsed=id:128709708$$DView record from Swedish Publication Index |
| BookMark | eNqNkD1PwzAQhi1UJNrCD0Bi6Mhi8MVxHI-o4kuqxAKzdUkc5JI4rZ2o9N_jKhUDQ4UH2zq9z_kez8jEdc4Qcg3sDhiT9wEgSRLKgFPFc6DqjExBSE6BSzEhU6YyRjnI9ILMQlgzBpDxdEpuVtYZ9IvtgK63jVm09ttUi7arTBMuyXmNTTBXx3NOPp4e35cvdPX2_Lp8WNEyZUlPMa9LkWMtCpYIXkpWMUwzUHGJlNclKswlx0pwmataYpZIAzwrClWrBIqMz0ky9h3cBvc7bBq98bZFv9fA9MFPj346-umDX9zmhI5Q2JnNUPwSHVp9LH3Fm9EZpLkQMX875je-2w4m9Lq1oTRNg850Q9AgBAAwzmSMwhgtfReCN_W_xpF_mNL22NvO9R5tc5I82of4ivs0Xq-7wbv44SegH2o-kjs |
| CitedBy_id | crossref_primary_10_1093_arclin_acaa026 crossref_primary_10_1038_s41372_021_01207_2 crossref_primary_10_1002_sim_9704 crossref_primary_10_1016_j_jbi_2022_104111 crossref_primary_10_2139_ssrn_3973658 crossref_primary_10_1002_cjs_11240 crossref_primary_10_1016_j_biombioe_2023_106975 crossref_primary_10_1007_s11222_024_10396_7 crossref_primary_10_1214_15_AOAS841 crossref_primary_10_1007_s40300_015_0072_5 crossref_primary_10_1007_s11222_016_9638_1 crossref_primary_10_1016_j_agsy_2021_103214 crossref_primary_10_1007_s00180_022_01297_2 crossref_primary_10_2139_ssrn_3409697 crossref_primary_10_1016_j_jclinane_2020_109707 crossref_primary_10_5194_ascmo_5_37_2019 crossref_primary_10_1287_orsc_2022_1584 crossref_primary_10_1007_s10928_018_9582_0 crossref_primary_10_1016_j_ypmed_2016_07_002 crossref_primary_10_1093_aje_kwu346 crossref_primary_10_1007_s00477_018_01643_1 crossref_primary_10_1016_j_scitotenv_2020_138052 crossref_primary_10_3389_feduc_2022_1043471 crossref_primary_10_1016_j_ophtha_2015_04_038 crossref_primary_10_1177_1471082X211033490 crossref_primary_10_1016_j_annemergmed_2022_07_003 crossref_primary_10_1016_j_ssmph_2015_10_002 crossref_primary_10_1038_s41467_024_50726_x crossref_primary_10_1007_s13142_017_0484_2 crossref_primary_10_1007_s13253_024_00601_5 crossref_primary_10_1111_bor_12219 crossref_primary_10_1186_s12872_024_03862_7 crossref_primary_10_1177_0013164416668234 crossref_primary_10_1001_jamanetworkopen_2024_8468 crossref_primary_10_1111_oik_10331 crossref_primary_10_1111_insr_12114 crossref_primary_10_1016_j_ecosta_2021_07_003 crossref_primary_10_1080_14992027_2016_1265157 crossref_primary_10_1007_s40262_018_0690_1 crossref_primary_10_1016_j_worlddev_2024_106908 crossref_primary_10_1016_j_envres_2024_119803 crossref_primary_10_1097_QAD_0000000000002818 crossref_primary_10_1016_j_aap_2023_107176 crossref_primary_10_1080_07853890_2016_1252053 crossref_primary_10_1002_sim_9745 crossref_primary_10_1214_19_AOAS1276 crossref_primary_10_1177_1471082X211015454 crossref_primary_10_1016_j_ijheh_2017_09_005 crossref_primary_10_1111_1471_0528_13032 crossref_primary_10_1016_j_scitotenv_2024_170165 crossref_primary_10_1097_JOM_0000000000002150 crossref_primary_10_1080_01621459_2021_1892702 crossref_primary_10_1177_0962280216636651 crossref_primary_10_1016_j_amepre_2017_01_019 crossref_primary_10_1097_ALN_0000000000003123 crossref_primary_10_1016_j_jtos_2019_10_004 crossref_primary_10_3389_fnhum_2024_1394948 crossref_primary_10_3390_ijerph15122890 crossref_primary_10_1089_chi_2015_0223 crossref_primary_10_1186_s13063_021_05592_z crossref_primary_10_1097_ICL_0000000000001078 crossref_primary_10_1002_eco_2069 crossref_primary_10_1007_s42081_022_00158_y crossref_primary_10_3390_stats5030036 crossref_primary_10_1016_j_enpol_2015_09_022 crossref_primary_10_1186_s13063_025_08759_0 crossref_primary_10_1080_03610926_2016_1257713 crossref_primary_10_1038_s41598_023_35996_7 crossref_primary_10_1044_2018_JSLHR_L_17_0368 crossref_primary_10_1002_jmri_28789 crossref_primary_10_4102_rw_v13i1_365 crossref_primary_10_1007_s11634_015_0222_x crossref_primary_10_1016_j_sleep_2025_03_003 crossref_primary_10_1097_AUD_0000000000001164 crossref_primary_10_3390_ijerph19095417 crossref_primary_10_1097_ALN_0000000000002701 crossref_primary_10_7717_peerj_2398 crossref_primary_10_1016_j_neuroimage_2023_120324 crossref_primary_10_1016_j_ajem_2024_02_037 crossref_primary_10_1016_j_csda_2019_106900 crossref_primary_10_1088_1748_9326_ad1720 crossref_primary_10_3390_educsci8040181 crossref_primary_10_1080_24754269_2021_1877961 crossref_primary_10_1080_00949655_2021_1968398 crossref_primary_10_1038_s41598_021_97114_9 crossref_primary_10_1097_JOM_0000000000003142 crossref_primary_10_1080_02664763_2021_1962262 crossref_primary_10_1016_j_jpain_2018_10_006 crossref_primary_10_1111_1467_8489_12195 crossref_primary_10_1007_s00181_020_01893_5 crossref_primary_10_1177_1471082X231225806 crossref_primary_10_1007_s11222_015_9621_2 crossref_primary_10_1016_j_amar_2020_100153 crossref_primary_10_3389_fnagi_2023_1267067 crossref_primary_10_1093_eurheartj_ehw172 crossref_primary_10_1002_aur_2637 crossref_primary_10_3390_cancers15225486 crossref_primary_10_1177_0011128717693215 crossref_primary_10_1111_rssc_12418 crossref_primary_10_1111_rssc_12539 crossref_primary_10_3389_fams_2024_1399426 crossref_primary_10_4049_jimmunol_2300391 crossref_primary_10_1016_j_scitotenv_2018_09_385 crossref_primary_10_1371_journal_pone_0224042 crossref_primary_10_1093_socpro_spz002 crossref_primary_10_1017_S136898001900226X crossref_primary_10_1177_00131644211010234 crossref_primary_10_1002_sim_6393 crossref_primary_10_1080_24709360_2020_1842048 crossref_primary_10_1080_15389588_2023_2189990 crossref_primary_10_1080_1743727X_2023_2215699 crossref_primary_10_1080_00949655_2024_2421322 crossref_primary_10_1111_1365_2745_12401 crossref_primary_10_1016_j_csda_2018_12_005 crossref_primary_10_1001_jamanetworkopen_2022_25614 crossref_primary_10_1038_s41598_021_83793_x crossref_primary_10_1186_s12879_021_06942_7 crossref_primary_10_1002_bimj_201900036 crossref_primary_10_1016_j_jim_2023_113506 crossref_primary_10_1016_j_csda_2022_107500 crossref_primary_10_1001_jama_2024_5596 crossref_primary_10_1177_0962280218784757 crossref_primary_10_1007_s10461_022_03707_4 crossref_primary_10_1016_j_foreco_2019_04_049 crossref_primary_10_1007_s11192_023_04761_y crossref_primary_10_1080_08164622_2021_1903808 crossref_primary_10_1007_s10462_023_10698_8 crossref_primary_10_1080_00949655_2023_2204437 crossref_primary_10_1136_rmdopen_2014_000041 crossref_primary_10_1016_j_ecosta_2021_09_003 crossref_primary_10_3168_jds_2018_14434 crossref_primary_10_1016_j_visres_2019_05_005 crossref_primary_10_2139_ssrn_3936542 crossref_primary_10_1016_j_jpsychores_2023_111473 crossref_primary_10_1080_14737167_2021_1857242 crossref_primary_10_1371_journal_pone_0237326 crossref_primary_10_1016_j_anbehav_2022_08_012 crossref_primary_10_1080_00949655_2014_908879 crossref_primary_10_1007_s10902_018_0028_6 crossref_primary_10_1097_QAI_0000000000000679 crossref_primary_10_1007_s10182_020_00362_9 crossref_primary_10_1016_j_aap_2020_105795 crossref_primary_10_1038_s41598_019_45543_y crossref_primary_10_1016_j_csda_2014_11_008 crossref_primary_10_1038_s41598_020_73883_7 crossref_primary_10_1080_02713683_2019_1705983 crossref_primary_10_3389_fpubh_2023_1173360 crossref_primary_10_1177_09622802231164730 crossref_primary_10_1080_00949655_2024_2352527 crossref_primary_10_1093_geroni_igae082 crossref_primary_10_1080_03610918_2023_2296857 crossref_primary_10_1186_s12889_018_5737_6 crossref_primary_10_1111_rssc_12452 crossref_primary_10_1002_sim_8013 crossref_primary_10_1111_rssc_12333 crossref_primary_10_1016_j_prevetmed_2024_106361 crossref_primary_10_1038_s41430_025_01569_2 crossref_primary_10_1038_s41598_021_84318_2 crossref_primary_10_1139_cjfas_2016_0367 crossref_primary_10_1007_s10750_014_1974_6 crossref_primary_10_1007_s00477_019_01687_x crossref_primary_10_1016_j_jsbmb_2016_07_009 crossref_primary_10_1177_0962280220903763 crossref_primary_10_1177_1541931218621443 crossref_primary_10_1371_journal_pone_0244594 crossref_primary_10_1126_science_1259911 crossref_primary_10_3389_fpsyg_2019_00862 crossref_primary_10_1002_bimj_202000180 crossref_primary_10_1016_j_csda_2021_107208 crossref_primary_10_1177_1471082X21993603 crossref_primary_10_1007_s00362_018_0988_y crossref_primary_10_1177_0962280220909986 crossref_primary_10_1080_19490976_2023_2292239 crossref_primary_10_1016_j_ecolind_2021_108494 crossref_primary_10_1111_mec_15816 crossref_primary_10_1371_journal_pone_0241197 crossref_primary_10_1002_ijfe_2510 crossref_primary_10_1080_03610918_2021_1977824 crossref_primary_10_1016_j_ecocom_2017_09_004 crossref_primary_10_1016_j_csda_2017_06_002 crossref_primary_10_1007_s10479_020_03535_6 crossref_primary_10_1186_s12885_022_09652_8 crossref_primary_10_1002_sim_8393 crossref_primary_10_1111_rssa_12126 crossref_primary_10_1542_hpeds_2021_006137 crossref_primary_10_1007_s00056_018_0139_z crossref_primary_10_1007_s10936_024_10110_8 crossref_primary_10_1016_j_vaa_2021_05_004 crossref_primary_10_1177_0962280216678433 crossref_primary_10_2147_IJGM_S332926 crossref_primary_10_1016_j_envres_2020_110561 crossref_primary_10_1097_QAI_0000000000001607 crossref_primary_10_1111_rssc_12105 crossref_primary_10_1177_0894439318767957 crossref_primary_10_3390_nu16213670 crossref_primary_10_2139_ssrn_3534476 crossref_primary_10_1016_j_sbspro_2015_07_130 crossref_primary_10_3389_fpsyg_2017_01602 |
| Cites_doi | 10.1016/j.jeconom.2007.12.004 10.1080/03610920500199018 10.1080/01621459.1999.10473882 10.1016/j.jeconom.2010.03.042 10.1214/088342304000000305 10.1017/CBO9780511754098 10.1093/biostatistics/kxj039 10.4172/2155-6180.1000115 10.1016/0304-4076(94)01652-G 10.1093/biomet/81.2.341 10.1016/j.csda.2012.02.005 10.1214/12-BA708 10.1093/biomet/81.4.673 10.1093/biomet/asr052 10.1002/0471728438 10.1111/1467-9868.00138 10.1111/j.1467-9876.2005.00510.x 10.1007/s11222-010-9213-0 10.1137/1.9781611971309 10.1016/0197-2456(86)90046-2 10.1093/imanum/22.3.329 10.1016/S0378-3758(02)00386-5 10.1198/106186005X27563 10.1016/S0378-3758(00)00186-5 10.1016/j.jspi.2010.05.008 10.1111/j.1541-0420.2009.01269.x 10.1080/01621459.1959.10501506 10.1214/10-BA521 10.1111/1468-0262.00342 10.1080/01621459.1978.10480065 10.1007/978-0-387-75969-2 10.1109/LSP.2006.870353 10.1017/CBO9780511755453 10.1198/016214502388618591 10.1006/jmva.1999.1849 10.1093/biostatistics/kxp049 10.1203/00006450-200011000-00007 10.1111/j.1467-9868.2004.00437.x 10.1093/biomet/86.3.677 10.1214/ss/1177011926 10.1056/NEJM200105103441902 10.1198/016214505000000330 10.1007/s00362-008-0127-2 10.1111/1467-9876.00084 10.1214/aos/1176342662 10.1016/j.spl.2005.03.011 10.1198/jasa.2011.tm10470 10.1111/j.1368-423X.2011.00349.x 10.1007/BF00140873 10.1137/0715040 10.1016/0377-0427(95)00232-4 10.1111/1467-9868.00391 10.1198/106186006X96962 10.2307/1913643 10.1016/j.jmva.2004.05.006 10.1191/1471082X03st052oa 10.1016/j.jeconom.2011.02.016 10.1016/S0167-7152(01)00124-9 10.1002/bimj.200900310 10.1080/03610910701723963 10.1016/0304-4076(77)90031-8 10.1111/j.1467-9876.2010.00725.x 10.1007/0-8176-4487-3_4 10.1007/978-1-4612-0173-1_7 10.1080/00031305.1997.10473959 10.1515/9781400873173 10.1007/s10260-012-0190-7 10.1177/1536867X1301300204 10.1080/10618600.1995.10474663 10.1111/1467-9884.00363 |
| ContentType | Journal Article |
| Copyright | Springer Science+Business Media New York 2013 |
| Copyright_xml | – notice: Springer Science+Business Media New York 2013 |
| DBID | AAYXX CITATION 7SC 8FD JQ2 L7M L~C L~D ADTPV AOWAS D8T ZZAVC ADTOC UNPAY |
| DOI | 10.1007/s11222-013-9381-9 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Technology Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional SwePub SwePub Articles SWEPUB Freely available online SwePub Articles full text Unpaywall for CDI: Periodical Content Unpaywall |
| DatabaseTitle | CrossRef Computer and Information Systems Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Advanced Technologies Database with Aerospace ProQuest Computer Science Collection Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Computer and Information Systems Abstracts |
| Database_xml | – sequence: 1 dbid: UNPAY name: Unpaywall url: https://proxy.k.utb.cz/login?url=https://unpaywall.org/ sourceTypes: Open Access Repository |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Statistics Mathematics Computer Science |
| EISSN | 1573-1375 |
| EndPage | 479 |
| ExternalDocumentID | oai:eprints.ucl.ac.uk.OAI2:1324520 oai_swepub_ki_se_614855 10_1007_s11222_013_9381_9 |
| GroupedDBID | -52 -5D -5G -BR -EM -Y2 -~C .86 .DC .VR 06D 0R~ 0VY 123 199 1N0 1SB 2.D 203 28- 29Q 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5QI 5VS 67Z 6NX 78A 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDZT ABECU ABFTV ABHLI ABHQN ABJNI ABJOX ABKCH ABKTR ABLJU ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACHSB ACHXU ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACZOJ ADHHG ADHIR ADIMF ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFIE AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFGCZ AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN B-. BA0 BAPOH BBWZM BDATZ BGNMA BSONS CAG COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 EBLON EBS EIOEI EJD ESBYG F5P FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 GQ8 GXS H13 HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I09 IHE IJ- IKXTQ ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ KDC KOV KOW LAK LLZTM M4Y MA- N2Q NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM OVD P19 P2P P9R PF0 PT4 PT5 QOK QOS R4E R89 R9I RHV RIG RNI RNS ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SCJ SCLPG SDD SDH SDM SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TN5 TSG TSK TSV TUC U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR Z45 Z7R Z7U Z7W Z7X Z7Y Z81 Z83 Z87 Z88 Z8O Z8R Z8U Z8W Z91 Z92 ZMTXR ZWQNP ~EX AAPKM AAYXX ABBRH ABDBE ABFSG ABRTQ ACSTC ADHKG ADKFA AEZWR AFDZB AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP ATHPR AYFIA CITATION 7SC 8FD JQ2 L7M L~C L~D ADTPV AOWAS D8T ZZAVC ADTOC UNPAY |
| ID | FETCH-LOGICAL-c402t-a8fc58af5b0253c70d0a4619999543fca9a873ad53789f7a627e136bb9f921b63 |
| IEDL.DBID | UNPAY |
| ISSN | 0960-3174 1573-1375 |
| IngestDate | Sun Oct 26 04:03:48 EDT 2025 Mon Oct 20 03:24:24 EDT 2025 Thu Sep 04 19:06:57 EDT 2025 Wed Oct 01 02:57:20 EDT 2025 Thu Apr 24 23:07:21 EDT 2025 Fri Feb 21 02:34:26 EST 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 3 |
| Keywords | Hierarchical models Gaussian quadrature Best linear predictor Clarke’s derivative |
| Language | English |
| License | http://www.springer.com/tdm |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c402t-a8fc58af5b0253c70d0a4619999543fca9a873ad53789f7a627e136bb9f921b63 |
| Notes | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| OpenAccessLink | https://proxy.k.utb.cz/login?url=https://discovery.ucl.ac.uk/1324520/2/lqmm_preprint_110601.pdf |
| PQID | 1551110307 |
| PQPubID | 23500 |
| PageCount | 19 |
| ParticipantIDs | unpaywall_primary_10_1007_s11222_013_9381_9 swepub_primary_oai_swepub_ki_se_614855 proquest_miscellaneous_1551110307 crossref_primary_10_1007_s11222_013_9381_9 crossref_citationtrail_10_1007_s11222_013_9381_9 springer_journals_10_1007_s11222_013_9381_9 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2014-05-01 |
| PublicationDateYYYYMMDD | 2014-05-01 |
| PublicationDate_xml | – month: 05 year: 2014 text: 2014-05-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Boston |
| PublicationPlace_xml | – name: Boston |
| PublicationTitle | Statistics and computing |
| PublicationTitleAbbrev | Stat Comput |
| PublicationYear | 2014 |
| Publisher | Springer US |
| Publisher_xml | – name: Springer US |
| References | Demidenko (CR12) 2004 Geraci, Salvati (CR25) 2007; 19 Clarke (CR11) 1990 DerSimonian, Laird (CR13) 1986; 7 Lee, Neocleous (CR46) 2010; 59 Lee, Nelder (CR47) 2004; 19 Bose, Chatterjee (CR6) 2003; 117 Koenker, Bassett (CR38) 1978; 46 Liu, Bottai (CR51) 2009; 5 Farcomeni (CR16) 2012; 22 (CR71) 2000; 48 CR73 Alhamzawi, Yu, Pan (CR1) 2011; 2 Rogan, Dietrich, Ware, Dockery, Salganik, Radcliffe, Jones, Ragan, Chisolm, Rhoads (CR68) 2001; 344 Pinheiro, Chao (CR58) 2006; 15 Koenker, Mizera (CR40) 2004; 66 Doksum (CR14) 1974; 2 Lum, Gelfand (CR52) 2012; 7 Sarkar (CR70) 2008 Lehmann (CR48) 1975 Buchinsky (CR9) 1995; 68 CR7 Bassett, Koenker (CR4) 1978; 73 Zhao (CR78) 2000; 72 Fu, Wang (CR19) 2012; 56 Kocherginsky, He, Mu (CR35) 2005; 14 Kozubowski, Nadarajah (CR44) 2010; 51 Pinheiro, Bates (CR56) 1995; 4 CR43 Yu, Lu, Stander (CR74) 2003; 52 Koenker, Xiao (CR42) 2002; 70 Rigby, Stasinopoulos (CR65) 2005; 54 Eltoft, Kim, Lee (CR15) 2006; 13 Reed, Balakrishnan, Castillo, Sarabia Alegria (CR62) 2006 Canay (CR10) 2011; 14 Kim, Yang (CR34) 2011; 106 Pourahmadi (CR59) 1999; 86 Prékopa (CR60) 1973; 34 Li, Xi, Lin (CR49) 2010; 5 Fielding, Yang, Goldstein (CR18) 2003; 3 Koenker (CR36) 2004; 91 Koenker, Ng, Portnoy (CR41) 1994; 81 (CR61) 2012 Galvao (CR20) 2011; 164 Lamarche (CR45) 2010; 157 Lipsitz, Fitzmaurice, Molenberghs, Zhao (CR50) 1997; 46 Rockafellar (CR67) 1970 Barrodale, Roberts (CR3) 1978; 15 Boscovich (CR5) 1757 Yu, Moyeed (CR76) 2001; 54 He (CR26) 1997; 51 Reich, Bondell, Wang (CR63) 2010; 11 Geraci, Bottai (CR24) 2007; 8 Oberhofer, Haupt (CR54) 2005; 73 Heiss, Winschel (CR30) 2008; 144 Bottai, Zhang (CR8) 2010; 52 Karlsson (CR33) 2008; 37 Parzen, Wei, Ying (CR55) 1994; 81 He, Hu (CR27) 2002; 97 Genz, Keister (CR22) 1996; 71 Azzalini, Capitanio (CR2) 2003; 65 Koenker (CR37) 2005 Hinkley, Revankar (CR32) 1977; 5 He, Portnoy (CR29) 2000; 91 Higham (CR31) 2002; 22 Koenker, Machado (CR39) 1999; 94 Yuan, Yin (CR77) 2010; 66 CR23 CR64 Feng, He, Hu (CR17) 2011; 98 Robinson (CR66) 1991; 6 Pinheiro, Bates (CR57) 1996; 6 He, Ng, Portnoy (CR28) 1998; 60 Machado, Santos Silva (CR53) 2005; 100 Ruppert, Wand, Carroll (CR69) 2003 Yu, Zhang (CR75) 2005; 34 Galvao, Montes-Rojas (CR21) 2010; 140 Wagner (CR72) 1959; 54 D. Sarkar (9381_CR70) 2008 F.H. Clarke (9381_CR11) 1990 A.F. Galvao (9381_CR21) 2010; 140 R. Rigby (9381_CR65) 2005; 54 R. DerSimonian (9381_CR13) 1986; 7 S.R. Lipsitz (9381_CR50) 1997; 46 A. Karlsson (9381_CR33) 2008; 37 X. He (9381_CR27) 2002; 97 F. Heiss (9381_CR30) 2008; 144 M. Buchinsky (9381_CR9) 1995; 68 G. Bassett (9381_CR4) 1978; 73 9381_CR7 B.J. Reich (9381_CR63) 2010; 11 W.J. Rogan (9381_CR68) 2001; 344 X.M. He (9381_CR28) 1998; 60 R. Rockafellar (9381_CR67) 1970 A. Genz (9381_CR22) 1996; 71 J. Pinheiro (9381_CR56) 1995; 4 R. Koenker (9381_CR37) 2005 C. Lamarche (9381_CR45) 2010; 157 K. Doksum (9381_CR14) 1974; 2 J.C. Pinheiro (9381_CR57) 1996; 6 R. Koenker (9381_CR36) 2004; 91 K. Yu (9381_CR75) 2005; 34 R Development Core Team (9381_CR61) 2012 A. Azzalini (9381_CR2) 2003; 65 K. Yu (9381_CR74) 2003; 52 Y. Liu (9381_CR51) 2009; 5 J.A.F. Machado (9381_CR53) 2005; 100 Y. Lee (9381_CR47) 2004; 19 M. Geraci (9381_CR25) 2007; 19 X. He (9381_CR26) 1997; 51 W. Reed (9381_CR62) 2006 9381_CR43 R. Koenker (9381_CR42) 2002; 70 E.L. Lehmann (9381_CR48) 1975 Q. Li (9381_CR49) 2010; 5 K.M. Yu (9381_CR76) 2001; 54 D.V. Hinkley (9381_CR32) 1977; 5 A. Bose (9381_CR6) 2003; 117 D. Lee (9381_CR46) 2010; 59 I. Barrodale (9381_CR3) 1978; 15 M. Kocherginsky (9381_CR35) 2005; 14 Treatment of Lead-Exposed Children (TLC) Trial Group (9381_CR71) 2000; 48 X. Feng (9381_CR17) 2011; 98 M.-O. Kim (9381_CR34) 2011; 106 E. Demidenko (9381_CR12) 2004 A. Fielding (9381_CR18) 2003; 3 X.M. He (9381_CR29) 2000; 91 Y. Yuan (9381_CR77) 2010; 66 L. Fu (9381_CR19) 2012; 56 A. Farcomeni (9381_CR16) 2012; 22 J.C. Pinheiro (9381_CR58) 2006; 15 M. Bottai (9381_CR8) 2010; 52 I.A. Canay (9381_CR10) 2011; 14 9381_CR73 Q.S. Zhao (9381_CR78) 2000; 72 D. Ruppert (9381_CR69) 2003 R. Alhamzawi (9381_CR1) 2011; 2 T.J. Kozubowski (9381_CR44) 2010; 51 W. Oberhofer (9381_CR54) 2005; 73 R. Koenker (9381_CR41) 1994; 81 A. Prékopa (9381_CR60) 1973; 34 R. Koenker (9381_CR40) 2004; 66 H.M. Wagner (9381_CR72) 1959; 54 T. Eltoft (9381_CR15) 2006; 13 9381_CR23 M. Parzen (9381_CR55) 1994; 81 R. Koenker (9381_CR38) 1978; 46 9381_CR64 M. Geraci (9381_CR24) 2007; 8 R. Koenker (9381_CR39) 1999; 94 R.J. Boscovich (9381_CR5) 1757 N. Higham (9381_CR31) 2002; 22 G. Robinson (9381_CR66) 1991; 6 K. Lum (9381_CR52) 2012; 7 A.F. Galvao (9381_CR20) 2011; 164 M. Pourahmadi (9381_CR59) 1999; 86 |
| References_xml | – volume: 144 start-page: 62 year: 2008 end-page: 80 ident: CR30 article-title: Likelihood approximation by numerical integration on sparse grids publication-title: J. Econom. doi: 10.1016/j.jeconom.2007.12.004 – volume: 34 start-page: 1867 year: 2005 end-page: 1879 ident: CR75 article-title: A three-parameter asymmetric Laplace distribution and its extension publication-title: Commun. Stat., Theory Methods doi: 10.1080/03610920500199018 – volume: 94 start-page: 1296 year: 1999 end-page: 1310 ident: CR39 article-title: Goodness of fit and related inference processes for quantile regression publication-title: J. Am. Stat. Assoc. doi: 10.1080/01621459.1999.10473882 – volume: 157 start-page: 396 year: 2010 end-page: 498 ident: CR45 article-title: Robust penalized quantile regression estimation for panel data publication-title: J. Econom. doi: 10.1016/j.jeconom.2010.03.042 – volume: 19 start-page: 219 year: 2004 end-page: 228 ident: CR47 article-title: Conditional and marginal models: another view publication-title: Stat. Sci. doi: 10.1214/088342304000000305 – volume: 4 start-page: 12 year: 1995 end-page: 35 ident: CR56 article-title: Approximations to the log-likelihood function in the nonlinear mixed-effects model publication-title: J. Comput. Graph. Stat. – year: 2005 ident: CR37 publication-title: Quantile Regression doi: 10.1017/CBO9780511754098 – volume: 8 start-page: 140 year: 2007 end-page: 154 ident: CR24 article-title: Quantile regression for longitudinal data using the asymmetric Laplace distribution publication-title: Biostatistics doi: 10.1093/biostatistics/kxj039 – year: 1970 ident: CR67 publication-title: Convex Analysis – year: 1757 ident: CR5 publication-title: De Litteraria Expeditione per Pontificiam Ditionem, et Synopsis Amplioris Operis, Ac Habentur Plura Ejus Ex Exemplaria Etiam Sensorum Impressa – volume: 2 start-page: 1 year: 2011 end-page: 7 ident: CR1 article-title: Prior elicitation in Bayesian quantile regression for longitudinal data publication-title: J. Biometr. Biostat. doi: 10.4172/2155-6180.1000115 – volume: 68 start-page: 303 year: 1995 end-page: 338 ident: CR9 article-title: Estimating the asymptotic covariance matrix for quantile regression models. A Monte Carlo study publication-title: J. Econom. doi: 10.1016/0304-4076(94)01652-G – volume: 81 start-page: 341 year: 1994 end-page: 350 ident: CR55 article-title: A resampling method based on pivotal estimating functions publication-title: Biometrika doi: 10.1093/biomet/81.2.341 – volume: 56 start-page: 2526 year: 2012 end-page: 2538 ident: CR19 article-title: Quantile regression for longitudinal data with a working correlation model publication-title: Comput. Stat. Data Anal. doi: 10.1016/j.csda.2012.02.005 – volume: 7 start-page: 235 year: 2012 end-page: 258 ident: CR52 article-title: Spatial quantile multiple regression using the asymmetric Laplace process publication-title: Bayesian Anal. doi: 10.1214/12-BA708 – volume: 81 start-page: 673 year: 1994 end-page: 680 ident: CR41 article-title: Quantile smoothing splines publication-title: Biometrika doi: 10.1093/biomet/81.4.673 – volume: 98 start-page: 995 year: 2011 end-page: 999 ident: CR17 article-title: Wild bootstrap for quantile regression publication-title: Biometrika doi: 10.1093/biomet/asr052 – year: 2004 ident: CR12 publication-title: Mixed Models. Theory and Applications doi: 10.1002/0471728438 – volume: 60 start-page: 537 year: 1998 end-page: 550 ident: CR28 article-title: Bivariate quantile smoothing splines publication-title: J. R. Stat. Soc., Ser. B, Stat. Methodol. doi: 10.1111/1467-9868.00138 – volume: 54 start-page: 507 year: 2005 end-page: 554 ident: CR65 article-title: Generalized additive models for location, scale and shape publication-title: J. R. Stat. Soc., Ser. C, Appl. Stat. doi: 10.1111/j.1467-9876.2005.00510.x – volume: 22 start-page: 141 year: 2012 end-page: 152 ident: CR16 article-title: Quantile regression for longitudinal data based on latent Markov subject-specific parameters publication-title: Stat. Comput. doi: 10.1007/s11222-010-9213-0 – year: 1990 ident: CR11 publication-title: Optimization and Nonsmooth Analysis doi: 10.1137/1.9781611971309 – volume: 7 start-page: 177 year: 1986 end-page: 188 ident: CR13 article-title: Meta-analysis in clinical trials publication-title: Control. Clin. Trials doi: 10.1016/0197-2456(86)90046-2 – volume: 22 start-page: 329 year: 2002 end-page: 343 ident: CR31 article-title: Computing the nearest correlation matrix—a problem from finance publication-title: IMA J. Numer. Anal. doi: 10.1093/imanum/22.3.329 – volume: 117 start-page: 225 year: 2003 end-page: 239 ident: CR6 article-title: Generalized bootstrap for estimators of minimizers of convex functions publication-title: J. Stat. Plan. Inference doi: 10.1016/S0378-3758(02)00386-5 – volume: 19 start-page: 167 year: 2007 end-page: 183 ident: CR25 article-title: The geographical distribution of the consumption expenditure in Ecuador: estimation and mapping of the regression quantiles publication-title: Stat. Appl. – volume: 14 start-page: 41 year: 2005 end-page: 55 ident: CR35 article-title: Practical confidence intervals for regression quantiles publication-title: J. Comput. Graph. Stat. doi: 10.1198/106186005X27563 – volume: 91 start-page: 341 year: 2000 end-page: 349 ident: CR29 article-title: Some asymptotic results on bivariate quantile splines publication-title: J. Stat. Plan. Inference doi: 10.1016/S0378-3758(00)00186-5 – volume: 140 start-page: 3476 year: 2010 end-page: 3497 ident: CR21 article-title: Penalized quantile regression for dynamic panel data publication-title: J. Stat. Plan. Inference doi: 10.1016/j.jspi.2010.05.008 – volume: 66 start-page: 105 year: 2010 end-page: 114 ident: CR77 article-title: Bayesian quantile regression for longitudinal studies with nonignorable missing data publication-title: Biometrics doi: 10.1111/j.1541-0420.2009.01269.x – volume: 54 start-page: 206 year: 1959 end-page: 212 ident: CR72 article-title: Linear programming techniques for regression analysis publication-title: J. Am. Stat. Assoc. doi: 10.1080/01621459.1959.10501506 – volume: 5 start-page: 533 year: 2010 end-page: 556 ident: CR49 article-title: Bayesian regularized quantile regression publication-title: Bayesian Anal. doi: 10.1214/10-BA521 – volume: 70 start-page: 1583 year: 2002 end-page: 1612 ident: CR42 article-title: Inference on the quantile regression process publication-title: Econometrica doi: 10.1111/1468-0262.00342 – volume: 73 start-page: 618 year: 1978 end-page: 622 ident: CR4 article-title: Asymptotic theory of least absolute error regression publication-title: J. Am. Stat. Assoc. doi: 10.1080/01621459.1978.10480065 – year: 2008 ident: CR70 publication-title: Lattice: Multivariate Data Visualization with R doi: 10.1007/978-0-387-75969-2 – volume: 13 start-page: 300 year: 2006 end-page: 303 ident: CR15 article-title: On the multivariate Laplace distribution publication-title: IEEE Signal Process. Lett. doi: 10.1109/LSP.2006.870353 – ident: CR64 – year: 2003 ident: CR69 publication-title: Semiparametric Regression doi: 10.1017/CBO9780511755453 – volume: 97 start-page: 783 year: 2002 end-page: 795 ident: CR27 article-title: Markov chain marginal bootstrap publication-title: J. Am. Stat. Assoc. doi: 10.1198/016214502388618591 – ident: CR43 – volume: 72 start-page: 78 year: 2000 end-page: 99 ident: CR78 article-title: Restricted regression quantiles publication-title: J. Multivar. Anal. doi: 10.1006/jmva.1999.1849 – volume: 5 start-page: 1 year: 2009 end-page: 22 ident: CR51 article-title: Mixed-effects models for conditional quantiles with longitudinal data publication-title: Int. J. Biostat. – volume: 11 start-page: 337 year: 2010 end-page: 352 ident: CR63 article-title: Flexible Bayesian quantile regression for independent and clustered data publication-title: Biostatistics doi: 10.1093/biostatistics/kxp049 – volume: 48 start-page: 593 year: 2000 end-page: 599 ident: CR71 article-title: Safety and efficacy of succimer in toddlers with blood lead levels of 20–44 μg/dL publication-title: Pediatr. Res. doi: 10.1203/00006450-200011000-00007 – volume: 66 start-page: 145 year: 2004 end-page: 163 ident: CR40 article-title: Penalized triograms: total variation regularization for bivariate smoothing publication-title: J. R. Stat. Soc., Ser. B, Stat. Methodol. doi: 10.1111/j.1467-9868.2004.00437.x – volume: 86 start-page: 677 year: 1999 end-page: 690 ident: CR59 article-title: Joint mean-covariance models with applications to longitudinal data: unconstrained parameterisation publication-title: Biometrika doi: 10.1093/biomet/86.3.677 – volume: 6 start-page: 15 year: 1991 end-page: 32 ident: CR66 article-title: That BLUP is a good thing: the estimation of random effects publication-title: Stat. Sci. doi: 10.1214/ss/1177011926 – volume: 344 start-page: 1421 year: 2001 end-page: 1426 ident: CR68 article-title: The effect of chelation therapy with succimer on neuropsychological development in children exposed to lead publication-title: N. Engl. J. Med. doi: 10.1056/NEJM200105103441902 – year: 1975 ident: CR48 publication-title: Nonparametrics: Statistical Methods Based on Ranks – volume: 100 start-page: 1226 year: 2005 end-page: 1237 ident: CR53 article-title: Quantiles for counts publication-title: J. Am. Stat. Assoc. doi: 10.1198/016214505000000330 – volume: 51 start-page: 127 year: 2010 end-page: 148 ident: CR44 article-title: Multitude of Laplace distributions publication-title: Stat. Pap. doi: 10.1007/s00362-008-0127-2 – volume: 46 start-page: 463 year: 1997 end-page: 476 ident: CR50 article-title: Quantile regression methods for longitudinal data with drop-outs: application to CD4 cell counts of patients infected with the human immunodeficiency virus publication-title: J. R. Stat. Soc., Ser. C, Appl. Stat. doi: 10.1111/1467-9876.00084 – volume: 2 start-page: 267 year: 1974 end-page: 277 ident: CR14 article-title: Empirical probability plots and statistical inference for nonlinear models in the two-sample case publication-title: Ann. Stat. doi: 10.1214/aos/1176342662 – volume: 73 start-page: 243 year: 2005 end-page: 250 ident: CR54 article-title: The asymptotic distribution of the unconditional quantile estimator under dependence publication-title: Stat. Probab. Lett. doi: 10.1016/j.spl.2005.03.011 – volume: 106 start-page: 1405 year: 2011 end-page: 1417 ident: CR34 article-title: Semiparametric approach to a random effects quantile regression model publication-title: J. Am. Stat. Assoc. doi: 10.1198/jasa.2011.tm10470 – year: 2012 ident: CR61 publication-title: R: A Language and Environment for Statistical Computing – volume: 51 start-page: 186 year: 1997 end-page: 192 ident: CR26 article-title: Quantile curves without crossing publication-title: Am. Stat. – volume: 14 start-page: 368 year: 2011 end-page: 386 ident: CR10 article-title: A simple approach to quantile regression for panel data publication-title: Econom. J. doi: 10.1111/j.1368-423X.2011.00349.x – ident: CR23 – volume: 6 start-page: 289 year: 1996 end-page: 296 ident: CR57 article-title: Unconstrained parametrizations for variance-covariance matrices publication-title: Stat. Comput. doi: 10.1007/BF00140873 – volume: 15 start-page: 603 year: 1978 end-page: 611 ident: CR3 article-title: An efficient algorithm for discrete linear approximation with linear constraints publication-title: SIAM J. Numer. Anal. doi: 10.1137/0715040 – volume: 71 start-page: 299 year: 1996 end-page: 309 ident: CR22 article-title: Fully symmetric interpolatory rules for multiple integrals over infinite regions with Gaussian weight publication-title: J. Comput. Appl. Math. doi: 10.1016/0377-0427(95)00232-4 – volume: 65 start-page: 367 year: 2003 end-page: 389 ident: CR2 article-title: Distributions generated by perturbation of symmetry with emphasis on a multivariate skew -distribution publication-title: J. R. Stat. Soc., Ser. B, Stat. Methodol. doi: 10.1111/1467-9868.00391 – volume: 15 start-page: 58 year: 2006 end-page: 81 ident: CR58 article-title: Efficient Laplacian and adaptive Gaussian quadrature algorithms for multilevel generalized linear mixed models publication-title: J. Comput. Graph. Stat. doi: 10.1198/106186006X96962 – volume: 46 start-page: 33 year: 1978 end-page: 50 ident: CR38 article-title: Regression quantiles publication-title: Econometrica doi: 10.2307/1913643 – ident: CR73 – volume: 91 start-page: 74 year: 2004 end-page: 89 ident: CR36 article-title: Quantile regression for longitudinal data publication-title: J. Multivar. Anal. doi: 10.1016/j.jmva.2004.05.006 – volume: 3 start-page: 127 year: 2003 end-page: 153 ident: CR18 article-title: Multilevel ordinal models for examination grades publication-title: Stat. Model. doi: 10.1191/1471082X03st052oa – volume: 164 start-page: 142 year: 2011 end-page: 157 ident: CR20 article-title: Quantile regression for dynamic panel data with fixed effects publication-title: J. Econom. doi: 10.1016/j.jeconom.2011.02.016 – volume: 52 start-page: 331 year: 2003 end-page: 350 ident: CR74 article-title: Quantile regression: applications and current research areas publication-title: Statistician – volume: 54 start-page: 437 year: 2001 end-page: 447 ident: CR76 article-title: Bayesian quantile regression publication-title: Stat. Probab. Lett. doi: 10.1016/S0167-7152(01)00124-9 – volume: 34 start-page: 334 year: 1973 end-page: 343 ident: CR60 article-title: Logarithmic concave measures and functions publication-title: Acta Sci. Math. – volume: 52 start-page: 487 year: 2010 end-page: 503 ident: CR8 article-title: Laplace regression with censored data publication-title: Biom. J. doi: 10.1002/bimj.200900310 – volume: 37 start-page: 114 year: 2008 end-page: 131 ident: CR33 article-title: Nonlinear quantile regression estimation of longitudinal data publication-title: Commun. Stat., Simul. Comput. doi: 10.1080/03610910701723963 – ident: CR7 – volume: 5 start-page: 1 year: 1977 end-page: 11 ident: CR32 article-title: Estimation of the Pareto law from underreported data: a further analysis publication-title: J. Econom. doi: 10.1016/0304-4076(77)90031-8 – volume: 59 start-page: 905 year: 2010 end-page: 920 ident: CR46 article-title: Bayesian quantile regression for count data with application to environmental epidemiology publication-title: J. R. Stat. Soc., Ser. C, Appl. Stat. doi: 10.1111/j.1467-9876.2010.00725.x – start-page: 61 year: 2006 end-page: 74 ident: CR62 article-title: The normal-Laplace distribution and its relatives publication-title: Advances in Distribution Theory, Order Statistics, and Inference doi: 10.1007/0-8176-4487-3_4 – volume: 5 start-page: 533 year: 2010 ident: 9381_CR49 publication-title: Bayesian Anal. doi: 10.1214/10-BA521 – volume-title: Quantile Regression year: 2005 ident: 9381_CR37 doi: 10.1017/CBO9780511754098 – volume-title: Semiparametric Regression year: 2003 ident: 9381_CR69 doi: 10.1017/CBO9780511755453 – volume: 46 start-page: 33 year: 1978 ident: 9381_CR38 publication-title: Econometrica doi: 10.2307/1913643 – volume: 3 start-page: 127 year: 2003 ident: 9381_CR18 publication-title: Stat. Model. doi: 10.1191/1471082X03st052oa – volume: 157 start-page: 396 year: 2010 ident: 9381_CR45 publication-title: J. Econom. doi: 10.1016/j.jeconom.2010.03.042 – volume: 52 start-page: 487 year: 2010 ident: 9381_CR8 publication-title: Biom. J. doi: 10.1002/bimj.200900310 – volume: 70 start-page: 1583 year: 2002 ident: 9381_CR42 publication-title: Econometrica doi: 10.1111/1468-0262.00342 – volume: 48 start-page: 593 year: 2000 ident: 9381_CR71 publication-title: Pediatr. Res. doi: 10.1203/00006450-200011000-00007 – volume: 2 start-page: 267 year: 1974 ident: 9381_CR14 publication-title: Ann. Stat. doi: 10.1214/aos/1176342662 – volume: 19 start-page: 167 year: 2007 ident: 9381_CR25 publication-title: Stat. Appl. – volume: 2 start-page: 1 year: 2011 ident: 9381_CR1 publication-title: J. Biometr. Biostat. doi: 10.4172/2155-6180.1000115 – volume: 65 start-page: 367 year: 2003 ident: 9381_CR2 publication-title: J. R. Stat. Soc., Ser. B, Stat. Methodol. doi: 10.1111/1467-9868.00391 – volume: 37 start-page: 114 year: 2008 ident: 9381_CR33 publication-title: Commun. Stat., Simul. Comput. doi: 10.1080/03610910701723963 – volume: 71 start-page: 299 year: 1996 ident: 9381_CR22 publication-title: J. Comput. Appl. Math. doi: 10.1016/0377-0427(95)00232-4 – volume: 144 start-page: 62 year: 2008 ident: 9381_CR30 publication-title: J. Econom. doi: 10.1016/j.jeconom.2007.12.004 – volume: 8 start-page: 140 year: 2007 ident: 9381_CR24 publication-title: Biostatistics doi: 10.1093/biostatistics/kxj039 – volume: 5 start-page: 1 year: 2009 ident: 9381_CR51 publication-title: Int. J. Biostat. – ident: 9381_CR64 – volume: 81 start-page: 673 year: 1994 ident: 9381_CR41 publication-title: Biometrika doi: 10.1093/biomet/81.4.673 – volume: 81 start-page: 341 year: 1994 ident: 9381_CR55 publication-title: Biometrika doi: 10.1093/biomet/81.2.341 – ident: 9381_CR43 doi: 10.1007/978-1-4612-0173-1_7 – volume: 60 start-page: 537 year: 1998 ident: 9381_CR28 publication-title: J. R. Stat. Soc., Ser. B, Stat. Methodol. doi: 10.1111/1467-9868.00138 – volume: 7 start-page: 177 year: 1986 ident: 9381_CR13 publication-title: Control. Clin. Trials doi: 10.1016/0197-2456(86)90046-2 – volume: 100 start-page: 1226 year: 2005 ident: 9381_CR53 publication-title: J. Am. Stat. Assoc. doi: 10.1198/016214505000000330 – volume: 51 start-page: 186 year: 1997 ident: 9381_CR26 publication-title: Am. Stat. doi: 10.1080/00031305.1997.10473959 – start-page: 61 volume-title: Advances in Distribution Theory, Order Statistics, and Inference year: 2006 ident: 9381_CR62 doi: 10.1007/0-8176-4487-3_4 – volume-title: De Litteraria Expeditione per Pontificiam Ditionem, et Synopsis Amplioris Operis, Ac Habentur Plura Ejus Ex Exemplaria Etiam Sensorum Impressa year: 1757 ident: 9381_CR5 – volume: 54 start-page: 206 year: 1959 ident: 9381_CR72 publication-title: J. Am. Stat. Assoc. doi: 10.1080/01621459.1959.10501506 – volume: 34 start-page: 1867 year: 2005 ident: 9381_CR75 publication-title: Commun. Stat., Theory Methods doi: 10.1080/03610920500199018 – volume: 13 start-page: 300 year: 2006 ident: 9381_CR15 publication-title: IEEE Signal Process. Lett. doi: 10.1109/LSP.2006.870353 – volume: 14 start-page: 41 year: 2005 ident: 9381_CR35 publication-title: J. Comput. Graph. Stat. doi: 10.1198/106186005X27563 – volume: 91 start-page: 341 year: 2000 ident: 9381_CR29 publication-title: J. Stat. Plan. Inference doi: 10.1016/S0378-3758(00)00186-5 – volume: 86 start-page: 677 year: 1999 ident: 9381_CR59 publication-title: Biometrika doi: 10.1093/biomet/86.3.677 – volume: 117 start-page: 225 year: 2003 ident: 9381_CR6 publication-title: J. Stat. Plan. Inference doi: 10.1016/S0378-3758(02)00386-5 – volume: 68 start-page: 303 year: 1995 ident: 9381_CR9 publication-title: J. Econom. doi: 10.1016/0304-4076(94)01652-G – ident: 9381_CR23 – volume: 56 start-page: 2526 year: 2012 ident: 9381_CR19 publication-title: Comput. Stat. Data Anal. doi: 10.1016/j.csda.2012.02.005 – volume: 140 start-page: 3476 year: 2010 ident: 9381_CR21 publication-title: J. Stat. Plan. Inference doi: 10.1016/j.jspi.2010.05.008 – volume-title: Mixed Models. Theory and Applications year: 2004 ident: 9381_CR12 doi: 10.1002/0471728438 – volume-title: Convex Analysis year: 1970 ident: 9381_CR67 doi: 10.1515/9781400873173 – volume-title: R: A Language and Environment for Statistical Computing year: 2012 ident: 9381_CR61 – volume: 98 start-page: 995 year: 2011 ident: 9381_CR17 publication-title: Biometrika doi: 10.1093/biomet/asr052 – volume: 106 start-page: 1405 year: 2011 ident: 9381_CR34 publication-title: J. Am. Stat. Assoc. doi: 10.1198/jasa.2011.tm10470 – ident: 9381_CR73 doi: 10.1007/s10260-012-0190-7 – volume: 66 start-page: 105 year: 2010 ident: 9381_CR77 publication-title: Biometrics doi: 10.1111/j.1541-0420.2009.01269.x – volume: 46 start-page: 463 year: 1997 ident: 9381_CR50 publication-title: J. R. Stat. Soc., Ser. C, Appl. Stat. doi: 10.1111/1467-9876.00084 – volume: 97 start-page: 783 year: 2002 ident: 9381_CR27 publication-title: J. Am. Stat. Assoc. doi: 10.1198/016214502388618591 – volume: 73 start-page: 618 year: 1978 ident: 9381_CR4 publication-title: J. Am. Stat. Assoc. doi: 10.1080/01621459.1978.10480065 – volume: 54 start-page: 507 year: 2005 ident: 9381_CR65 publication-title: J. R. Stat. Soc., Ser. C, Appl. Stat. doi: 10.1111/j.1467-9876.2005.00510.x – volume: 6 start-page: 15 year: 1991 ident: 9381_CR66 publication-title: Stat. Sci. doi: 10.1214/ss/1177011926 – volume: 164 start-page: 142 year: 2011 ident: 9381_CR20 publication-title: J. Econom. doi: 10.1016/j.jeconom.2011.02.016 – volume: 14 start-page: 368 year: 2011 ident: 9381_CR10 publication-title: Econom. J. doi: 10.1111/j.1368-423X.2011.00349.x – volume: 22 start-page: 329 year: 2002 ident: 9381_CR31 publication-title: IMA J. Numer. Anal. doi: 10.1093/imanum/22.3.329 – volume: 5 start-page: 1 year: 1977 ident: 9381_CR32 publication-title: J. Econom. doi: 10.1016/0304-4076(77)90031-8 – volume: 94 start-page: 1296 year: 1999 ident: 9381_CR39 publication-title: J. Am. Stat. Assoc. doi: 10.1080/01621459.1999.10473882 – volume-title: Optimization and Nonsmooth Analysis year: 1990 ident: 9381_CR11 doi: 10.1137/1.9781611971309 – volume: 15 start-page: 58 year: 2006 ident: 9381_CR58 publication-title: J. Comput. Graph. Stat. doi: 10.1198/106186006X96962 – volume: 7 start-page: 235 year: 2012 ident: 9381_CR52 publication-title: Bayesian Anal. doi: 10.1214/12-BA708 – volume: 11 start-page: 337 year: 2010 ident: 9381_CR63 publication-title: Biostatistics doi: 10.1093/biostatistics/kxp049 – volume-title: Lattice: Multivariate Data Visualization with R year: 2008 ident: 9381_CR70 doi: 10.1007/978-0-387-75969-2 – volume: 59 start-page: 905 year: 2010 ident: 9381_CR46 publication-title: J. R. Stat. Soc., Ser. C, Appl. Stat. doi: 10.1111/j.1467-9876.2010.00725.x – volume: 72 start-page: 78 year: 2000 ident: 9381_CR78 publication-title: J. Multivar. Anal. doi: 10.1006/jmva.1999.1849 – volume: 22 start-page: 141 year: 2012 ident: 9381_CR16 publication-title: Stat. Comput. doi: 10.1007/s11222-010-9213-0 – volume: 344 start-page: 1421 year: 2001 ident: 9381_CR68 publication-title: N. Engl. J. Med. doi: 10.1056/NEJM200105103441902 – ident: 9381_CR7 doi: 10.1177/1536867X1301300204 – volume: 91 start-page: 74 year: 2004 ident: 9381_CR36 publication-title: J. Multivar. Anal. doi: 10.1016/j.jmva.2004.05.006 – volume: 73 start-page: 243 year: 2005 ident: 9381_CR54 publication-title: Stat. Probab. Lett. doi: 10.1016/j.spl.2005.03.011 – volume: 6 start-page: 289 year: 1996 ident: 9381_CR57 publication-title: Stat. Comput. doi: 10.1007/BF00140873 – volume: 4 start-page: 12 year: 1995 ident: 9381_CR56 publication-title: J. Comput. Graph. Stat. doi: 10.1080/10618600.1995.10474663 – volume: 54 start-page: 437 year: 2001 ident: 9381_CR76 publication-title: Stat. Probab. Lett. doi: 10.1016/S0167-7152(01)00124-9 – volume: 34 start-page: 334 year: 1973 ident: 9381_CR60 publication-title: Acta Sci. Math. – volume: 19 start-page: 219 year: 2004 ident: 9381_CR47 publication-title: Stat. Sci. doi: 10.1214/088342304000000305 – volume: 66 start-page: 145 year: 2004 ident: 9381_CR40 publication-title: J. R. Stat. Soc., Ser. B, Stat. Methodol. doi: 10.1111/j.1467-9868.2004.00437.x – volume-title: Nonparametrics: Statistical Methods Based on Ranks year: 1975 ident: 9381_CR48 – volume: 52 start-page: 331 year: 2003 ident: 9381_CR74 publication-title: Statistician doi: 10.1111/1467-9884.00363 – volume: 15 start-page: 603 year: 1978 ident: 9381_CR3 publication-title: SIAM J. Numer. Anal. doi: 10.1137/0715040 – volume: 51 start-page: 127 year: 2010 ident: 9381_CR44 publication-title: Stat. Pap. doi: 10.1007/s00362-008-0127-2 |
| SSID | ssj0011634 |
| Score | 2.498792 |
| Snippet | Dependent data arise in many studies. Frequently adopted sampling designs, such as cluster, multilevel, spatial, and repeated measures, may induce this... |
| SourceID | unpaywall swepub proquest crossref springer |
| SourceType | Open Access Repository Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 461 |
| SubjectTerms | Algorithms Artificial Intelligence Computation Computer simulation Mathematical models Mathematics and Statistics Maximization Optimization Probability and Statistics in Computer Science Quantiles Regression Statistical Theory and Methods Statistics Statistics and Computing/Statistics Programs |
| SummonAdditionalLinks | – databaseName: SpringerLink Journals (ICM) dbid: U2A link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3PS8MwFH7oPOgO_piK0ykVxINSaJukaY9DlCHMk4PdQpKmIM5u2g31v_elv6YgE2-lNGn43kveF17yPYALGlPf83SAU5xpl0aKusoE9gKzzxXzTMgKdf3hQzgY0fsxG1f3uPP6tHudkixW6uVlNx9jmWurEcQYZtx4HTaYVfNCJx4F_SZ1gASj0IxCao4LDKd1KvO3Ln4GoyXDbJKijYBoGzYX2Ux-vsvJ5FsAutuF7Yo5Ov3S1HuwZrIO7NRVGZxqknagPWyUWPMObFk2WYox70MPd57o2c7rAvHE5cB5efowiVNUw8kPYHR3-3gzcKvyCK7GTd_clVGqWSRTppC3EM29xJM0tLICMaMk1TKWEScyYYRHccplGHDjk1CpOEXUVEgOoZVNM3MEDtEGeV5kUq4kpdJEaCRfkyRIDKOSkS54NU5CV9rhtoTFRCxVjy20AqEVFloRd-GqaTIrhTNWfXxegy_QvW3OQmZmusiFZXS-LYXGu3BdW0VU8yxf1eNlabjm51ZHu3r1jE9GWAlUxrDbxrB_D_T4X4M4gS3kV7Q8H9mD1vxtYU6Rw8zVWeGzX9Qq41w priority: 102 providerName: Springer Nature |
| Title | Linear quantile mixed models |
| URI | https://link.springer.com/article/10.1007/s11222-013-9381-9 https://www.proquest.com/docview/1551110307 http://kipublications.ki.se/Default.aspx?queryparsed=id:128709708 https://discovery.ucl.ac.uk/1324520/2/lqmm_preprint_110601.pdf |
| UnpaywallVersion | submittedVersion |
| Volume | 24 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVLSH databaseName: SpringerLink Journals customDbUrl: mediaType: online eissn: 1573-1375 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0011634 issn: 0960-3174 databaseCode: AFBBN dateStart: 19910901 isFulltext: true providerName: Library Specific Holdings – providerCode: PRVAVX databaseName: SpringerLINK - Czech Republic Consortium customDbUrl: eissn: 1573-1375 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0011634 issn: 0960-3174 databaseCode: AGYKE dateStart: 19970101 isFulltext: true titleUrlDefault: http://link.springer.com providerName: Springer Nature – providerCode: PRVAVX databaseName: SpringerLink Journals (ICM) customDbUrl: eissn: 1573-1375 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0011634 issn: 0960-3174 databaseCode: U2A dateStart: 19970101 isFulltext: true titleUrlDefault: http://www.springerlink.com/journals/ providerName: Springer Nature |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3Pb9MwFH5i7YHtwKAwURhVkBAHULo4tuPkWKGNCbSJA5W2k2U7jjQtzTqaaIO_nufEyYDDENyiyHFivV-f8_y-B_CGZYxEkYnRxLkJWapZqG3sCpiJ0DyyCW_Z9U9Ok-Ml-3TGz_wPN1cL42pR3dlFdLam9OVUuGFiPI4O4oPyerWSa0f3eFHVCF4dmch8nRdbME44YvERjJenXxbnLcFe4hxMS8NMuKAhoYL3ac22do5gaAxdc4MMo1aY_R6Y7tDmkCAdyER34GFTrdX3G1WWvwSjo12Q_TK6MyiX86bWc_PjD4bH_1_nY3jkcWqw6BTrCTyw1QR2-x4QgXcJE9g5GXhfNxPYdti1o35-Cvu4z0U7Cq4blB46n2B1cWvzoO29s3kGy6PDrx-OQ9-MITS4xaxDlRaGp6rgGlESNSLKI8USR2KQcUYLozKVCqpyTkWaFUIlsbCEJlpnRRYTndA9GFVXlX0OATUWUWVqC6EVY8qmqBLE0DzOLWeK0ylEvSSk8UzlrmFGKe84lp3wJApPOuHJbArvhkfWHU3HfYNf9-KVaEwuQ6Iqe9VspMOPxDVeE1N438tdeqve3Dfj2041hpc71m5_6xKvrHSEq5zjtIPq_P1DX_zT6JewjWiOdacx92FUf2vsK0RMtZ7BePHx_PPhDLaW8WLmjeQnZy0N9w |
| linkProvider | Unpaywall |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LT9wwEB7R5QAc2HZpxVIoqVT1UBSUxHYcHxEClsJyWiR6smzHkSqWsJCNePz6jjePpQiBuEVRMnFmPDOfNfY3AD-ooGEQmAhdnBmfJpr62kbuAHPINQtszGbs-sOzeHBOf1-wi_ocd9Hsdm9KkrNIPT_sFmIu8103AoFpxhcfYJHi-iTqwOLe0Z-Tg7Z4gBBjxhqF4BxDDKdNMfMlIf-noznGbMuiLYXoCiyV-UQ93Knx-EkKOuzCqBl8tfPkcrec6l3z-IzX8Z1_9xFWa0jq7VVz6BMs2LwH3abdg1d7fw9Whi3Fa9GDZQdTK5bnNdjEJS26jHdToqEwznhXf-9t6s3a7BSf4fzwYLQ_8Ou-C77B1eTUV0lmWKIyphEQEcODNFA0dnwFglGSGSVUwolKGeGJyLiKI25DEmstMhGFOiZfoJNf53YdPGIsAsjEZlwrSpVN0PqhIWmUWkYVI30IGvVLU5OSu94YYzmnU3aKkagY6RQjRR9-ta9MKkaO1x7-3thUot-4YojK7XVZSAcVQ9djjfdhpzGJrB24eE3iz2o-tB93BN31rUu8stJxqzKGYtv58vZAN941iG1YGoyGp_L0-OzkKywjiKPVJsxN6ExvS7uFQGmqv9WO8Q_JpQMY |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3fb9MwED6NIkH3AKNjotCxTJp4AEVNYjuOHydYVba12sMq9c2yHUdClLQjqYD_nnPzo0xCnfYWRbFj3Z19n3X29wGcUUHDIDARTnFmfJpo6msbuQvMIdcssDHbsOtPpvF4Ri_nbF7rnBbNafemJFndaXAsTXk5XKXZcHvxLcS85jtlAoEpxxdP4Cl1PAkY0LPovC0jINjY8EchTMfFhtOmrPm_Lu4npi3abAukLZnoPjxf5yv155daLP5JRqMDeFGjSO-8cvsr2LN5D142Cg1ePWF7sD9pWVmLHnQdsqyImQ9hgLtQjHLvbo22xaXB-_Htt029jTJO8Rpmo4vbz2O_lkrwDW4AS18lmWGJyphGDEMMD9JA0dhRDAhGSWaUUAknKmWEJyLjKo64DUmstchEFOqYHEEnX-b2DXjEWMR8ic24VpQqm6DDQkPSKLWMKkb6EDR2kqbmEXdyFgu5ZUB2ppVoWulMK0UfPrZNVhWJxq6PTxvjSwx1V79QuV2uC-nQXehk0XgfPjVekfWcK3b1-KFyXPtzx6ldv_qOT1Y6OlTGsNvWsQ8P9O2jBnECz26-jOT11-nVO-gi7KLVsckBdMqfa3uM0KbU7zfh-xcr7eqE |
| linkToUnpaywall | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Nb9QwEB3B9kB7aGGhYmlBQUIcQNnGsR3Hx6pqVSG14sBK5WTZjiNVzaZbNlELv55x4qTAoQhuUeQ4sebrOeN5A_COSUaSxKZo4tzGLDcsNi71BcxEGJ64jHfs-mfn2emCfbrgF-GHm6-F8bWo_uwiOltbhXIq3DAxniYH6UF1s1yqlad7vKwbBK-eTGS-KsrHsJFxxOIT2Ficfz782hHsZd7BdDTMhAsaEyr4kNbsaucIhsbYNzeQGLVi-XtgukebY4J0JBPdgidtvdLfb3VV_RKMTnZADcvoz6BczdvGzO2PPxge_3-dT2E74NTosFesZ_DI1VPYGXpARMElTGHrbOR9XU9h02PXnvr5OezjPhftKLppUXrofKLl5Z0roq73zvoFLE6OvxydxqEZQ2xxi9nEOi8tz3XJDaIkakVSJJplnsRAckZLq6XOBdUFpyKXpdBZKhyhmTGylCkxGd2FSX1du5cQUesQVeauFEYzpl2OKkEsLdLCcaY5nUEySELZwFTuG2ZU6p5j2QtPofCUF56SM_gwPrLqaToeGvx2EK9CY_IZEl2763atPH4kvvGamMHHQe4qWPX6oRnf96oxvtyzdodbV3jllCdc5RynHVXn7x_66p9G78EmojnWn8bch0nzrXWvETE15k0wi5-4-Qt6 |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Linear+quantile+mixed+models&rft.jtitle=Statistics+and+computing&rft.au=Geraci%2C+Marco&rft.au=Bottai%2C+Matteo&rft.date=2014-05-01&rft.issn=0960-3174&rft.eissn=1573-1375&rft.volume=24&rft.issue=3&rft.spage=461&rft.epage=479&rft_id=info:doi/10.1007%2Fs11222-013-9381-9&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s11222_013_9381_9 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0960-3174&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0960-3174&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0960-3174&client=summon |