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

Published online by Cambridge University Press:  22 May 2002

Moshe Shaked
Affiliation:
Department of Mathematics, University of Arizona, Tucson, AZ 85721, E-mail: shaked@math.arizona.edu
Fabio Spizzichino
Affiliation:
Department of Mathematics, University “La Sapienza”, 00185 Rome, Italy, E-mail: spizzichino@uniroma1.it
Florentina Suter
Affiliation:
Department of Mathematics, University of Bucharest, 70109 Bucharest, Romania, E-mail: florent@math.math.unibuc.ro

Abstract

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.

Type
Research Article
Copyright
© 2002 Cambridge University Press

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