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On preservation of some partial orderings under shock models

Published online by Cambridge University Press:  01 July 2016

Subhash C. Kochar
Subhash C. Kochar*
Affiliation:
University of Iowa
*
∗Postal address: Department of Statistics and Actuarial Science, University of Iowa, Iowa City, IA 52242, USA.
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Abstract

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Singh and Jain (1989) have proved some preservation results for partial orderings of life distributions assuming that shocks occur according to a homogeneous Poisson process. It is shown that their results hold under less restrictive conditions.

Keywords

TP2 FUNCTIONSNON-HOMOGENEOUS POISSON PROCESS
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 22 , Issue 2 , June 1990 , pp. 508 - 509
Copyright
Copyright © Applied Probability Trust 1990 

References

Singh, H. and Jain, K. (1989) Preservation of some partial orderings under Poisson shock models. Adv. Appl. Prob. 21, 713–716.CrossRefGoogle Scholar
Karlin, S. (1968) Total Positivity, Vol. I. Stanford University Press.Google Scholar