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

Title
Justifying the Gompertz curve of mortality via the generalized Polya process of shocks
Authors
Cha, Ji HwanFinkelstein, Maxim
Ewha Authors
차지환
SCOPUS Author ID
차지환scopus
Issue Date
2016
Journal Title
THEORETICAL POPULATION BIOLOGY
ISSN
0040-5809JCR Link1096-0325JCR Link
Citation
vol. 109, pp. 54 - 62
Keywords
Generalized Polya processExtreme shock modelGompertz law of mortalityStrehler-Mildvan modelImperfect repair
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Indexed
SCI; SCIE; SCOPUS WOS scopus
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. (C) 2016 Elsevier Inc. All rights reserved.
DOI
10.1016/j.tpb.2016.03.001
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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