On some mortality rate processes and mortality deceleration with age.
A specific mortality rate process governed by the non-homogeneous Poisson process of point events is considered and its properties are studied. This process can describe the damage accumulation in organisms experiencing external shocks and define its survival characteristics. It is shown that, although the sample paths of the unconditional mortality rate process are monotonically increasing, the population mortality rate can decrease with age and, under certain assumptions, even tend to zero. The corresponding analysis is the main objective of this paper and it is performed using the derived conditional distributions of relevant random parameters. Several meaningful examples are presented and discussed.
Department of Statistics, Ewha Womans University, Seoul, 120-750, Republic of Korea. jhcha@ewha.ac.kr.
Ji Hwan
JH
Cha
Department of Mathematical Statistics, University of the Free State, 339, Bloemfontein, 9300, South Africa. FinkelM@ufs.ac.za.|University ITMO, 49 Kronverkskiy pr., St. Petersburg, 197101, Russia. FinkelM@ufs.ac.za.
Maxim
M
Finkelstein
D000367:Age Factors; D000375:Aging; D000818:Animals; D006801:Humans; D055641:Mathematical Concepts; D015233:Models, Statistical; D009026:Mortality; D016012:Poisson Distribution; D013269:Stochastic Processes
Evolving heterogeneity; Fixed heterogeneity; Gompertz law of mortality; Mortality process; Mortality rate; Nonhomogeneous Poisson process