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

Keywords

likelihood ratio orderorder statisticparallel systemstochastic comparison
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 32 , Issue 3 , July 2018 , pp. 460 - 468
Copyright
Copyright © Cambridge University Press 2017 

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