NONHOMOGENEOUS BIRTH PROCESSES AND l∞-SPHERICAL DENSITIES, WITH APPLICATIONS IN RELIABILITY THEORY

Moshe Shaked; Fabio Spizzichino; Florentina Suter

doi:10.1017/S0269964802163017

Abstract

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In this article we characterize l∞-spherical density functions by means of epoch times of nonhomogeneous pure birth processes. Some further properties of l∞-spherical densities, such as Schur-concavity, positive dependence, and stochastic comparisons, are also given. The relationships of l∞-spherical densities to notions of interest in reliability theory are highlighted.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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NONHOMOGENEOUS BIRTH PROCESSES AND l∞-SPHERICAL DENSITIES, WITH APPLICATIONS IN RELIABILITY THEORY

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