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LIKELIHOOD RATIO ORDERING OF PARALLEL SYSTEMS WITH HETEROGENEOUS SCALED COMPONENTS

Published online by Cambridge University Press:  05 June 2017

Jiantian Wang
Affiliation:
School of Mathematical Sciences, Kean University, New Jersey 07083, USA E-mail: jwang@kean.edu
Corresponding
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Abstract

This paper considers stochastic comparison of parallel systems in terms of likelihood ratio order under scale models. We introduce a new order, the so-called q-larger order, and show that under certain conditions, the q-larger order between the scale vectors can imply the likelihood ratio order of parallel systems. Applications are given to the generalized gamma scale family.

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Research Article
Copyright
Copyright © Cambridge University Press 2017 

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LIKELIHOOD RATIO ORDERING OF PARALLEL SYSTEMS WITH HETEROGENEOUS SCALED COMPONENTS
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