The survival probability of mortality intensity with jump-diffusion
In this paper we derive the survival probability with mortality intensity based on stochastic differential equations with jump-diffusion. Also, we consider the problem of estimation of parameters appearing in mortality intensity models by using the maximum likelihood method. Numerical examples are g...
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Published in | Journal of the Korean Statistical Society Vol. 37; no. 4; pp. 355 - 363 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Singapore
Elsevier B.V
01.12.2008
Springer Singapore 한국통계학회 |
Subjects | |
Online Access | Get full text |
ISSN | 1226-3192 2005-2863 |
DOI | 10.1016/j.jkss.2008.06.001 |
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Abstract | In this paper we derive the survival probability with mortality intensity based on stochastic differential equations with jump-diffusion. Also, we consider the problem of estimation of parameters appearing in mortality intensity models by using the maximum likelihood method. Numerical examples are given. |
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AbstractList | In this paper we derive the survival probability with mortality intensity based on stochastic differential equations with jumpdiffusion.
Also, we consider the problem of estimation of parameters appearing in mortality intensity models by using the maximum likelihood method. Numerical examples are given. KCI Citation Count: 4 In this paper we derive the survival probability with mortality intensity based on stochastic differential equations with jump-diffusion. Also, we consider the problem of estimation of parameters appearing in mortality intensity models by using the maximum likelihood method. Numerical examples are given. |
Author | Park, Hyun Suk |
Author_xml | – sequence: 1 givenname: Hyun Suk surname: Park fullname: Park, Hyun Suk email: hyun.suk.park@maths.anu.edu.au, hspark@postech.ac.kr organization: Centre for Mathematics and its Applications, Australian National University, Canberra 0200, Australia |
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Cites_doi | 10.1080/034612301750077374 10.2139/ssrn.873870 10.1016/S0167-6687(01)00084-1 10.1016/j.insmatheco.2005.05.003 10.1016/S0167-6687(01)00093-2 10.1016/j.insmatheco.2004.05.003 |
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Keywords | secondary Survival probability Mortality intensity Jump-diffusions Partial differential equation primary primary 60J75 secondary 62P05 |
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References | Dahl (b3) 2004; 35 Olivieri, A., & Pitacco, E. (2002). Inference about mortality improvements in life annuity portpolios. In Durham, J. B. (2005). Jump-diffusion processes and affine term structure models: Additional closed-form approximate solutions, distributional assumptions for jumps, and parameter estimates. Finance and Economics Discussion Series, Washington, DC. Lindbergson (b5) 2001; 1 Biffs (b1) 2005; 37 Milevsky, Promislow (b6) 2001; 29 Olivieri (b7) 2001; 29 Björk (b2) 1996; Vol. 1656 Biffs (CR1) 2005; 37 Durham (CR4) 2005 Olivieri, Pitacco (CR8) 2002 Olivieri (CR7) 2001; 29 Dahl (CR3) 2004; 35 Lindbergson (CR5) 2001; 1 Milevsky, Promislow (CR6) 2001; 29 Björk, Runggaldier (CR2) 1996 Lindbergson (10.1016/j.jkss.2008.06.001_b5) 2001; 1 Biffs (10.1016/j.jkss.2008.06.001_b1) 2005; 37 10.1016/j.jkss.2008.06.001_b4 Milevsky (10.1016/j.jkss.2008.06.001_b6) 2001; 29 10.1016/j.jkss.2008.06.001_b8 Dahl (10.1016/j.jkss.2008.06.001_b3) 2004; 35 Olivieri (10.1016/j.jkss.2008.06.001_b7) 2001; 29 Björk (10.1016/j.jkss.2008.06.001_b2) 1996; Vol. 1656 |
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SubjectTerms | 60J75 62P05 Applied Statistics Bayesian Inference Jump-diffusions Mortality intensity Partial differential equation primary secondary Statistical Theory and Methods Statistics Statistics and Computing/Statistics Programs Survival probability 통계학 |
Title | The survival probability of mortality intensity with jump-diffusion |
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