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Laplace Transform Characterization of Probabilistic Orderings

Published online by Cambridge University Press:  27 July 2009

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

Using the Laplace transform, we characterize, by means of necessary and sufficient conditions, the property that two life distributions are ordered in the sense of 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. 69 - 77
Copyright
Copyright © Cambridge University Press 1994

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