Multivariate aging properties of epoch times of nonhomogeneous processes

Authors:
Félix Belzunce;José A. Mercader;José M. Ruiz
Affiliations:
Dpto. de Estadística e Investigación Operativa, Universidad de Murcia, Espinardo, Murcia 30100, Spain;Dpto. de Estadística e Investigación Operativa, Universidad de Murcia, Espinardo, Murcia 30100, Spain;Dpto. de Estadística e Investigación Operativa, Universidad de Murcia, Espinardo, Murcia 30100, Spain
Venue:
Journal of Multivariate Analysis
Year:
2003

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Abstract

The purpose of this paper is to give conditions on the parameters of nonhomogeneous Poisson and nonhomogeneous pure birth processes, under which the corresponding random vector of the first n epoch times has some multivariate stochastic properties. These results provide an inside to understand the effect of the time over the occurrence of events in such processes. Some applications of these results are given.