Stress–Strength Reliability Analysis for Different Distributions Using Progressive Type-II Censoring with Binomial Removal
In the statistical literature, one of the most important subjects that is commonly used is stress–strength reliability, which is defined as δ=PW<V, where V and W are the strength and stress random variables, respectively, and δ is reliability parameter. Type-II progressive censoring with binomial...
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| Published in | Axioms Vol. 12; no. 11; p. 1054 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
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MDPI AG
01.11.2023
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| ISSN | 2075-1680 2075-1680 |
| DOI | 10.3390/axioms12111054 |
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| Abstract | In the statistical literature, one of the most important subjects that is commonly used is stress–strength reliability, which is defined as δ=PW<V, where V and W are the strength and stress random variables, respectively, and δ is reliability parameter. Type-II progressive censoring with binomial removal is used in this study to examine the inference of δ=PW<V for a component with strength V and being subjected to stress W. We suppose that V and W are independent random variables taken from the Burr XII distribution and the Burr III distribution, respectively, with a common shape parameter. The maximum likelihood estimator of δ is derived. The Bayes estimator of δ under the assumption of independent gamma priors is derived. To determine the Bayes estimates for squared error and linear exponential loss functions in the lack of explicit forms, the Metropolis–Hastings method was provided. Utilizing comprehensive simulations and two metrics (average of estimates and root mean squared errors), we compare these estimators. Further, an analysis is performed on two actual data sets based on breakdown times for insulating fluid between electrodes recorded under varying voltages. |
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| AbstractList | In the statistical literature, one of the most important subjects that is commonly used is stress–strength reliability, which is defined as δ=P[W<V], where V and W are the strength and stress random variables, respectively, and δ is reliability parameter. Type-II progressive censoring with binomial removal is used in this study to examine the inference of δ=P[W<V] for a component with strength V and being subjected to stress W. We suppose that V and W are independent random variables taken from the Burr XII distribution and the Burr III distribution, respectively, with a common shape parameter. The maximum likelihood estimator of δ is derived. The Bayes estimator of δ under the assumption of independent gamma priors is derived. To determine the Bayes estimates for squared error and linear exponential loss functions in the lack of explicit forms, the Metropolis–Hastings method was provided. Utilizing comprehensive simulations and two metrics (average of estimates and root mean squared errors), we compare these estimators. Further, an analysis is performed on two actual data sets based on breakdown times for insulating fluid between electrodes recorded under varying voltages. In the statistical literature, one of the most important subjects that is commonly used is stress–strength reliability, which is defined as δ=PW<V, where V and W are the strength and stress random variables, respectively, and δ is reliability parameter. Type-II progressive censoring with binomial removal is used in this study to examine the inference of δ=PW<V for a component with strength V and being subjected to stress W. We suppose that V and W are independent random variables taken from the Burr XII distribution and the Burr III distribution, respectively, with a common shape parameter. The maximum likelihood estimator of δ is derived. The Bayes estimator of δ under the assumption of independent gamma priors is derived. To determine the Bayes estimates for squared error and linear exponential loss functions in the lack of explicit forms, the Metropolis–Hastings method was provided. Utilizing comprehensive simulations and two metrics (average of estimates and root mean squared errors), we compare these estimators. Further, an analysis is performed on two actual data sets based on breakdown times for insulating fluid between electrodes recorded under varying voltages. |
| Audience | Academic |
| Author | Elbatal, Ibrahim El-Saeed, Ahmed R. Ben Ghorbal, Anis Elgarhy, Mohammed Diab, L. S. Hassan, Amal S. |
| Author_xml | – sequence: 1 givenname: Ibrahim surname: Elbatal fullname: Elbatal, Ibrahim – sequence: 2 givenname: Amal S. orcidid: 0000-0003-4442-8458 surname: Hassan fullname: Hassan, Amal S. – sequence: 3 givenname: L. S. surname: Diab fullname: Diab, L. S. – sequence: 4 givenname: Anis orcidid: 0000-0001-5501-327X surname: Ben Ghorbal fullname: Ben Ghorbal, Anis – sequence: 5 givenname: Mohammed orcidid: 0000-0002-1333-3862 surname: Elgarhy fullname: Elgarhy, Mohammed – sequence: 6 givenname: Ahmed R. surname: El-Saeed fullname: El-Saeed, Ahmed R. |
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| References | Nadarajah (ref_47) 2007; 74 Wingo (ref_36) 1983; 25 Gamchi (ref_52) 2019; 13 ref_14 ref_13 ref_57 ref_12 ref_11 Yan (ref_27) 2011; 22 Panahi (ref_41) 2016; 86 ref_19 Kundu (ref_4) 2005; 61 Hassan (ref_39) 2008; 5 ref_16 Jones (ref_33) 2014; 29 Dey (ref_26) 2014; 38 Hassan (ref_48) 2023; 21 Balakrishnan (ref_21) 2007; 16 Burr (ref_30) 1968; 63 Yu (ref_17) 2023; 20 ref_20 Tadikamalla (ref_31) 1980; 48 McDonald (ref_34) 1987; 16 Mielke (ref_46) 1973; 12 Rastogi (ref_40) 2011; 28 Yuen (ref_22) 1996; 55 Panahi (ref_6) 2010; 72 Balakrishnan (ref_56) 1995; 49 Asgharzadeh (ref_7) 2011; 35 Hassan (ref_44) 2021; 22 Gove (ref_45) 2008; 81 Zellner (ref_54) 1986; 81 Shoaee (ref_10) 2015; 44 Kumar (ref_15) 2023; 42 Panahi (ref_43) 2019; 10 Yadav (ref_9) 2018; 35 Burr (ref_29) 1942; 13 Kamel (ref_18) 2023; 2591 Li (ref_38) 2007; 73 Mokhlis (ref_28) 2021; 10 Cook (ref_37) 1986; 28 Amin (ref_23) 2008; 35 Wu (ref_24) 2007; 77 Rastogi (ref_42) 2013; 54 Ahmed (ref_3) 1997; 64 Rezaei (ref_5) 2010; 140 Tse (ref_25) 2000; 27 Mielke (ref_35) 1974; 10 ref_1 Altindag (ref_50) 2017; 66 Hassan (ref_53) 2021; 17 ref_49 Dey (ref_55) 2016; 120 Panahi (ref_51) 2017; 44 Kinaci (ref_8) 2012; 82 Chou (ref_32) 2000; 27 Awad (ref_2) 1986; 15 |
| References_xml | – volume: 55 start-page: 57 year: 1996 ident: ref_22 article-title: Parameters estimation for Weibull with random removals publication-title: J. Stat. Comput. Simul. doi: 10.1080/00949659608811749 – volume: 10 start-page: 385 year: 2021 ident: ref_28 article-title: Estimation of Stress-Strength Reliability for Marshall- Olkin Extended Weibull Family Based on Type-II Progressive Censoring publication-title: J. Stat. Appl. Probab. doi: 10.18576/jsap/100210 – volume: 16 start-page: 1049 year: 1987 ident: ref_34 article-title: Model selection, some generalized distributions publication-title: Commun. Stat. Theory Methods doi: 10.1080/03610928708829422 – volume: 54 start-page: 619 year: 2013 ident: ref_42 article-title: Inference on unknown parameters of a Burr distribution under hybrid censoring publication-title: Stat. Pap. doi: 10.1007/s00362-012-0452-3 – volume: 64 start-page: 297 year: 1997 ident: ref_3 article-title: Empirical Bayes estimation of R=P(Y<X) and characterizations of Burr-type X model publication-title: J. Stat. Plan. Inference doi: 10.1016/S0378-3758(97)00038-4 – volume: 38 start-page: 974 year: 2014 ident: ref_26 article-title: Statistical Inference for the Rayleigh distribution under progressively Type-II censoring with binomial removal publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2013.07.025 – volume: 22 start-page: 171 year: 2021 ident: ref_44 article-title: Estimation of the density and cumulative distribution functions of the exponentiated Burr XII distribution publication-title: Stat. Transit. New Ser. doi: 10.21307/stattrans-2021-044 – volume: 63 start-page: 627 year: 1968 ident: ref_30 article-title: On a general system of distributions: I. Its curve-shape characteristics; II. The sample median publication-title: J. Am. Stat. Assoc. – volume: 15 start-page: 389 year: 1986 ident: ref_2 article-title: Estimation of P(Y < X) in the Burr case: A comparative study publication-title: Commun. Stat.-Simul. Comput. doi: 10.1080/03610918608812514 – volume: 74 start-page: 451 year: 2007 ident: ref_47 article-title: On the alternative to the Weibull function publication-title: Eng. Fract. Mech. doi: 10.1016/j.engfracmech.2006.06.007 – ident: ref_19 doi: 10.3390/math11020318 – volume: 20 start-page: 12360 year: 2023 ident: ref_17 article-title: Estimation of stress-strength reliability from unit-Burr III distribution under records data publication-title: Math. Biosci. Eng. doi: 10.3934/mbe.2023550 – volume: 13 start-page: 215 year: 1942 ident: ref_29 article-title: Cumulative frequency distribution publication-title: Ann. Math. Stat. doi: 10.1214/aoms/1177731607 – volume: 86 start-page: 55 year: 2016 ident: ref_41 article-title: Estimation and prediction for a unified hybrid-censored Burr Type XII distribution publication-title: J. Stat. Comput. Simul. doi: 10.1080/00949655.2014.993985 – volume: 21 start-page: e01770 year: 2023 ident: ref_48 article-title: Statistical inference of the Burr Type III distribution under joint progressively Type-II censoring publication-title: Sci. Afr. – volume: 22 start-page: 704 year: 2011 ident: ref_27 article-title: Statistical analysis of generalized exponential distribution under progressive censoring with binomial removals publication-title: J. Syst. Eng. Electron. doi: 10.3969/j.issn.1004-4132.2011.04.022 – volume: 17 start-page: 633 year: 2021 ident: ref_53 article-title: Assessing the Lifetime Performance Index of Burr Type III Distribution under Progressive Type II Censoring publication-title: Pak. J. Stat. Oper. Res. doi: 10.18187/pjsor.v17i3.3635 – volume: 35 start-page: 48 year: 2018 ident: ref_9 article-title: Estimation of stress–strength reliability for inverse Weibull distribution under progressive type-II censoring scheme publication-title: J. Ind. Prod. Eng. – volume: 35 start-page: 1203 year: 2008 ident: ref_23 article-title: Bayesian inference for the Pareto lifetime model under progressive censoring with binomial removals publication-title: J. Appl. Stat. doi: 10.1080/09537280802187634 – volume: 35 start-page: 103 year: 2011 ident: ref_7 article-title: Stress-strength reliability of Weibull distribution based on progressively censored samples publication-title: SORT-Stat. Oper. Res. Trans. – ident: ref_13 doi: 10.3390/sym14040837 – volume: 42 start-page: 126 year: 2023 ident: ref_15 article-title: Reliability Estimation in Inverse Pareto Distribution Using Progressively First Failure Censored Data publication-title: Am. J. Math. Manag. Sci. – ident: ref_20 doi: 10.1007/978-1-4612-1334-5 – volume: 48 start-page: 337 year: 1980 ident: ref_31 article-title: A look at the Burr and related distributions publication-title: Int. Stat. Rev./Revue Int. Stat. doi: 10.2307/1402945 – ident: ref_12 doi: 10.3390/axioms11090455 – volume: 82 start-page: 729 year: 2012 ident: ref_8 article-title: On estimation of R = P(Y < X) for exponential distribution under progressive type-II censoring publication-title: J. Stat. Comput. Simul. doi: 10.1080/00949655.2010.551772 – volume: 73 start-page: 320 year: 2007 ident: ref_38 article-title: Empirical Bayes estimators of reliability performances using LINEX loss under progressively type-II censored samples publication-title: Math. Comput. Simul. doi: 10.1016/j.matcom.2006.05.002 – volume: 49 start-page: 229 year: 1995 ident: ref_56 article-title: A Simple Simulational Algorithm for Generating Progressive Type-II Censored Samples publication-title: Am. Stat. doi: 10.1080/00031305.1995.10476150 – volume: 10 start-page: 223 year: 1974 ident: ref_35 article-title: Some generalized beta distributions of the second kind having desirable applications features in hydrology and meterology publication-title: Water Resour. Res. doi: 10.1029/WR010i002p00223 – volume: 28 start-page: 885 year: 2011 ident: ref_40 article-title: Estimating a parameter of Burr type XII distribution using hybrid censored observations publication-title: Int. J. Qual. Reliab. Manag. doi: 10.1108/02656711111162532 – volume: 44 start-page: 5306 year: 2015 ident: ref_10 article-title: Stress–strength reliability of a two-parameter Bathtub-shaped lifetime distribution based on progressively censored samples publication-title: Commun. Stat. Methods doi: 10.1080/03610926.2013.821485 – volume: 29 start-page: 649 year: 2014 ident: ref_33 article-title: Applying beta-type size distributions to health-care cost regressions publication-title: J. Appl. Econom. doi: 10.1002/jae.2334 – volume: 44 start-page: 2575 year: 2017 ident: ref_51 article-title: Estimation of the Burr type III distribution with application in unified hybrid censored sample of fracture toughness publication-title: J. Appl. Stat. doi: 10.1080/02664763.2016.1258549 – volume: 28 start-page: 123 year: 1986 ident: ref_37 article-title: Generalized Burr-Pareto-Logistic distributions with applications to a uranium exploration data set publication-title: Technometrics doi: 10.1080/00401706.1986.10488113 – ident: ref_49 doi: 10.1002/0471457175 – ident: ref_11 – volume: 140 start-page: 480 year: 2010 ident: ref_5 article-title: Estimation of P[Y < X] for generalized Pareto distribution publication-title: J. Stat. Plan. Inference doi: 10.1016/j.jspi.2009.07.024 – volume: 12 start-page: 275 year: 1973 ident: ref_46 article-title: Another family of distributions for describing and analyzing precipitation data publication-title: J. Appl. Meterol. doi: 10.1175/1520-0450(1973)012<0275:AFODFD>2.0.CO;2 – volume: 81 start-page: 161 year: 2008 ident: ref_45 article-title: Rotated sigmoid structures in managed uneven-aged northern hardwood stands: A look at the Burr Type III distribution publication-title: Forestry doi: 10.1093/forestry/cpm025 – ident: ref_16 doi: 10.3390/sym15051121 – ident: ref_1 doi: 10.1142/9789812564511 – volume: 16 start-page: 211 year: 2007 ident: ref_21 article-title: Progressive censoring methodology: An appraisal publication-title: TEST doi: 10.1007/s11749-007-0061-y – volume: 10 start-page: 510 year: 2019 ident: ref_43 article-title: Estimation for the parameters of the Burr type XII distribution under doubly censored sample with application to microfluidics data publication-title: Int. J. Syst. Assur. Eng. doi: 10.1007/s13198-018-0735-8 – ident: ref_14 doi: 10.1371/journal.pone.0280183 – volume: 72 start-page: 465 year: 2010 ident: ref_6 article-title: Estimation of R = P[Y<X] for two-parameter Burr Type XII Distribution publication-title: World Acad. Sci. Eng. Technol. – volume: 27 start-page: 1033 year: 2000 ident: ref_25 article-title: Statistical analysis of Weibull distributed lifetime data under type-II progressive censoring with binomial removals publication-title: J. Appl. Stat. doi: 10.1080/02664760050173355 – volume: 81 start-page: 446 year: 1986 ident: ref_54 article-title: Bayesian estimation and prediction using asymmetric loss functions publication-title: J. Am. Stat. Assoc. doi: 10.1080/01621459.1986.10478289 – volume: 13 start-page: 79 year: 2019 ident: ref_52 article-title: Classical and Bayesian inference for Burr type III distribution based on progressive type II hybrid censored data publication-title: Math. Sci. doi: 10.1007/s40096-019-0281-9 – volume: 2591 start-page: 050023 year: 2023 ident: ref_18 article-title: Different estimation methods of reliability in stress-strength model under chen distribution publication-title: AIP Conf. Proc. doi: 10.1063/5.0120602 – volume: 120 start-page: 64 year: 2016 ident: ref_55 article-title: Statistical inference for the generalized inverted exponential distribution based on upper record values publication-title: Math. Comput. Simul. doi: 10.1016/j.matcom.2015.06.012 – volume: 25 start-page: 77 year: 1983 ident: ref_36 article-title: Maximum likelihood methods for fitting the Burr type-XII distribution to life test data publication-title: Biom. J. doi: 10.1002/bimj.19830250109 – volume: 27 start-page: 939 year: 2000 ident: ref_32 article-title: Economic statistical design of X charts for non-normal data by considering quality loss publication-title: J. Appl. Stat. doi: 10.1080/02664760050173274 – ident: ref_57 doi: 10.1002/0471725234 – volume: 77 start-page: 19 year: 2007 ident: ref_24 article-title: Statistical inference based on progressively censored samples with random removals from the Burr type XII distribution publication-title: J. Stat. Comput. Simul. doi: 10.1080/10629360600569204 – volume: 61 start-page: 291 year: 2005 ident: ref_4 article-title: Estimation of P[Y < X] for generalized exponential distribution publication-title: Metrika doi: 10.1007/s001840400345 – volume: 66 start-page: 297 year: 2017 ident: ref_50 article-title: Statistical inference for the Burr Type III Distribution under Type II Censored Data publication-title: Commun. Fac. Sci. Univ. Ank.-Ser. A1 Math. Stat. doi: 10.1501/Commua1_0000000820 – volume: 5 start-page: 502 year: 2008 ident: ref_39 article-title: Estimation in step-stress partially accelerated life tests for the Burr Type XII distribution using type I censoring publication-title: Stat. Methodol. doi: 10.1016/j.stamet.2007.12.001 |
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| Snippet | In the statistical literature, one of the most important subjects that is commonly used is stress–strength reliability, which is defined as δ=PW<V, where V and... In the statistical literature, one of the most important subjects that is commonly used is stress–strength reliability, which is defined as δ=P[W<V], where V... In the statistical literature, one of the most important subjects that is commonly used is stress–strength reliability, which is defined as δ=P W<V , where V... |
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| SubjectTerms | Bayesian estimation binomial distribution Burr distributions Censoring (Statistics) Engineering Estimates Failure Independent variables Insulation Life expectancy Maximum likelihood estimators Medicine Metropolis–Hastings algorithm Monte Carlo simulation Parameters Random variables Reliability analysis Strains and stresses Strength of materials Stress relaxation (Materials) Stress relieving (Materials) stress–strength model Type-II progressive censoring |
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| Title | Stress–Strength Reliability Analysis for Different Distributions Using Progressive Type-II Censoring with Binomial Removal |
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