STOCHASTIC COMPARISONS AND BOUNDS FOR AGING RENEWAL PROCESS SHOCK-MODELS AND THEIR APPLICATIONS

Authors
BHATTACHARJEE MC
Citation
Mc. Bhattacharjee, STOCHASTIC COMPARISONS AND BOUNDS FOR AGING RENEWAL PROCESS SHOCK-MODELS AND THEIR APPLICATIONS, Annals of the Institute of Statistical Mathematics, 48(4), 1996, pp. 645-662
Citations number
15
Categorie Soggetti
Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Annals of the Institute of Statistical Mathematics → ACNP
ISSN journal
00203157
Volume
48
Issue
4
Year of publication
1996
Pages
645 - 662
Database
ISI
SICI code
0020-3157(1996)48:4<645:SCABFA>2.0.ZU;2-#
Abstract
Sharp comparisons between aging renewal process shock models and the c orresponding Esary-Marshall-Proschan (EMP) shock model are considered. The usefulness of such comparisons derive from the simplicity of the latter models. Simple conditions under which such aging renewal proces s shock models are stochastically ordered relative to a corresponding EMP-model are derived. Applications to renewal functions and single se rver queues are indicated.