Justifying the Gompertz curve of mortality via the generalized Polya process of shocks

Ji Hwan Cha; Maxim Finkelstein

doi:10.1016/j.tpb.2016.03.001

Justifying the Gompertz curve of mortality via the generalized Polya process of shocks

Ji Hwan Cha, Maxim Finkelstein

Department of Statistics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

A new probabilistic model of aging that can be applied to organisms is suggested and analyzed. Organisms are subject to shocks that follow the generalized Polya process (GPP), which has been recently introduced and characterized in the literature. Distinct from the nonhomogeneous Poisson process that has been widely used in applications, the important feature of this process is the dependence of its future behavior on the number of previous events (shocks). The corresponding survival and the mortality rate functions are derived and analyzed. The general approach is used for justification of the Gompertz law of human mortality.

Original language	English
Pages (from-to)	54-62
Number of pages	9
Journal	Theoretical Population Biology
Volume	109
DOIs	https://doi.org/10.1016/j.tpb.2016.03.001
State	Published - 1 Jun 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc.

Keywords

Extreme shock model
Generalized Polya process
Gompertz law of mortality
Imperfect repair
Strehler-Mildvan model

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title = "Justifying the Gompertz curve of mortality via the generalized Polya process of shocks",

abstract = "A new probabilistic model of aging that can be applied to organisms is suggested and analyzed. Organisms are subject to shocks that follow the generalized Polya process (GPP), which has been recently introduced and characterized in the literature. Distinct from the nonhomogeneous Poisson process that has been widely used in applications, the important feature of this process is the dependence of its future behavior on the number of previous events (shocks). The corresponding survival and the mortality rate functions are derived and analyzed. The general approach is used for justification of the Gompertz law of human mortality.",

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KW - Imperfect repair

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ER -

Justifying the Gompertz curve of mortality via the generalized Polya process of shocks

Abstract

Bibliographical note

Keywords

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