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Order-Preserving Shock Models

Published online by Cambridge University Press:  27 July 2009

Y. Kebir
Y. Kebir
Affiliation:
Departments of Management Science and Mathematical Sciences, Loyola University of Chicago, Chicago, Illinois 60611
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Abstract

To date, research in shock models has been primarily concerned with the classpreserving properties of certain shock and damage kernels. This article focuses on the order-preserving properties of those kernels. We show that they preserve stochastic ordering, hazard rate ordering, backward hazard rate ordering, and likelihood ratio ordering.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 8 , Issue 1 , January 1994 , pp. 125 - 134
Copyright
Copyright © Cambridge University Press 1994

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