Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-23T10:08:51.720Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  22 May 2002

Moshe Shaked ,
Fabio Spizzichino  and
Florentina Suter
Moshe Shaked
Affiliation:
Department of Mathematics, University of Arizona, Tucson, AZ 85721, E-mail: [email protected]
Fabio Spizzichino
Affiliation:
Department of Mathematics, University “La Sapienza”, 00185 Rome, Italy, E-mail: [email protected]
Florentina Suter
Affiliation:
Department of Mathematics, University of Bucharest, 70109 Bucharest, Romania, E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

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
Information
Probability in the Engineering and Informational Sciences , Volume 16 , Issue 3 , July 2002 , pp. 271 - 288
Copyright
© 2002 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)