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Preservation of unimodality under shock models

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Field Value
 
Title Preservation of unimodality under shock models
 
Creator BALU, MN
SABNIS, SV
 
Subject unimodality
shock model
poisson process
nonhomogeneous poisson process
pure birth process
variation diminishing property
total positivity
 
Description A number of results pertaining to preservation of aging properties (IFR, TFRA etc.) under various shock models are available in the literature. Our aim in this paper is to examine in the same spirit, the preservation of unimodality under various shock models. For example, it is proved that in a non-homogeneous Poisson shock model if (pk) k greater than or equal to 0, the sequence of probabilities with which the device fails on the kth shock, is unimodal then under some suitable conditions on the mean value function Lambda(t), the corresponding survival function is also unimodal. The other shock models under which the preservation of unimodality is considered in this paper are pure birth shock model and a more general shuck model in which shocks occur according to a general counting process. (C) 1999 , Inc.
 
Publisher JOHN WILEY & SONS INC
 
Date 2011-08-16T12:23:09Z
2011-12-26T12:54:56Z
2011-12-27T05:43:22Z
2011-08-16T12:23:09Z
2011-12-26T12:54:56Z
2011-12-27T05:43:22Z
1999
 
Type Article
 
Identifier NAVAL RESEARCH LOGISTICS, 46(8), 952-957
0894-069X
http://dx.doi.org/10.1002/(SICI)1520-6750(199912)46:8<952::AID-NAV5>3.3.CO;2-U
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9499
http://hdl.handle.net/10054/9499
 
Language en