Mortality modelling with Levy processes

被引:37
作者
Hainaut, Donatien [1 ]
Devolder, Pierre [1 ]
机构
[1] Univ Catholique Louvain, Inst Sci Actuarielles, B-1348 Louvain, Belgium
关键词
stochastic mortality; longevity risk; Levy processes;
D O I
10.1016/j.insmatheco.2007.05.007
中图分类号
F [经济];
学科分类号
02 ;
摘要
This paper addresses the modelling of human mortality by the aid of doubly stochastic processes with an intensity driven by a positive Levy process. We focus on intensities having a mean reverting stochastic component. Furthermore, driving Levy processes are pure jump processes belonging to the class of a-stable subordinators. In this setting, expressions of survival probabilities are inferred, the pricing is discussed and numerical applications to actuarial valuations are proposed. (C) 2008 Published by Elsevier B.V.
引用
收藏
页码:409 / 418
页数:10
相关论文
共 50 条
  • [41] LARGE EXCEEDANCES FOR MULTIDIMENSIONAL LEVY PROCESSES
    Dembo, Amir
    Karlin, Samuel
    Zeitouni, Ofer
    [J]. ANNALS OF APPLIED PROBABILITY, 1994, 4 (02) : 432 - 447
  • [42] Martingale Representations for Functionals of Levy Processes
    Rajeev, B.
    [J]. SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY, 2015, 77 (02): : 277 - 299
  • [43] White noise analysis for Levy processes
    Di Nunno, G
    Oksendal, B
    Proske, F
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 206 (01) : 109 - 148
  • [44] Sequential Testing Problems for Levy Processes
    Buonaguidi, Bruno
    Muliere, Pietro
    [J]. SEQUENTIAL ANALYSIS-DESIGN METHODS AND APPLICATIONS, 2013, 32 (01): : 47 - 70
  • [45] WEAK REFLECTION PRINCIPLE FOR LEVY PROCESSES
    Bayraktar, Erhan
    Nadtochiy, Sergey
    [J]. ANNALS OF APPLIED PROBABILITY, 2015, 25 (06) : 3251 - 3294
  • [46] On Levy processes conditioned to avoid zero
    Panti, Henry
    [J]. ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2017, 14 (02): : 657 - 690
  • [47] An anticipating Ito formula for Levy processes
    Alos, Elisa
    Leon, Jorge A.
    Vives, Josep
    [J]. ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2008, 4 : 285 - 305
  • [48] Transient analysis of reflected Levy processes
    Kella, Offer
    Mandjes, Michel
    [J]. STATISTICS & PROBABILITY LETTERS, 2013, 83 (10) : 2308 - 2315
  • [49] Optimal importance sampling for Levy processes
    Genin, Adrien
    Tankov, Peter
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 130 (0I) : 20 - 46
  • [50] On the density of exponential functionals of Levy processes
    Pardo, J. C.
    Rivero, V.
    Van Schaik, K.
    [J]. BERNOULLI, 2013, 19 (5A) : 1938 - 1964