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Preservation of certain dependent structures under bivariate homogeneous Poisson shock models

DSpace at IIT Bombay

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Field Value
 
Title Preservation of certain dependent structures under bivariate homogeneous Poisson shock models
 
Creator BALU, MN
SABNIS, SV
 
Subject life distributions
bivariate homogeneous poisson shock models
variation diminishing property
stochastic increasing
right tail increasing
left tail decreasing
positively quadrant dependent
 
Description A bivariate Poisson shock model resulting from two devices receiving shocks from two independent sources is shown to preserve certain bivariate dependent structures such as total positivity of order 2 (TP2), stochastic increasing (SI), right tail increasing (RTI) etc. However, when two devices are subjected to the same source of shocks it is observed through a counter example that some of these preservation results do not hold any more. Ln such cases sufficient conditions are given under which the bivariate random vector denoting the life lengths of two devices is shown to have the above-mentioned bivariate dependent structures. (C) 1997
 
Publisher ELSEVIER SCIENCE BV
 
Date 2011-07-26T12:17:31Z
2011-12-26T12:54:21Z
2011-12-27T05:42:13Z
2011-07-26T12:17:31Z
2011-12-26T12:54:21Z
2011-12-27T05:42:13Z
1997
 
Type Article
 
Identifier STATISTICS & PROBABILITY LETTERS, 35(1), 91-100
0167-7152
http://dx.doi.org/10.1016/S0167-7152(97)81253-9
http://dspace.library.iitb.ac.in/xmlui/handle/10054/6900
http://hdl.handle.net/10054/6900
 
Language en