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RESIDUAL STOCHASTIC PRECEDENCE ORDER

Published online by Cambridge University Press:  28 January 2020

Amit Kumar Misra ,
Vaishali Gupta Open the ORCID record for Vaishali Gupta [Opens in a new window]  and
Neeraj Misra
Amit Kumar Misra
Affiliation:
Department of Statistics, School of Physical & Decision Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow 226 025, India E-mail: mishraamit31@gmail.com
Vaishali Gupta
Affiliation:
Department of Statistics, School of Physical & Decision Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow 226 025, India E-mail: vaishali.gupta3091@gmail.com
Neeraj Misra
Affiliation:
Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208 016, India E-mail: neeraj@iitk.ac.in
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Abstract

The aim of this paper is to introduce a new stochastic order based on the residual lifetimes of two nonnegative dependent random variables and the stochastic precedence order. We develop some characterizations and preservation properties of this stochastic order. In addition, we study some of its reliability properties and its relation with other existing stochastic orders. One of the possible applications in reliability theory has also been discussed.

Keywords

joint stochastic orderspreservationresidual lifetimeunivariate stochastic orders
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 35 , Issue 3 , July 2021 , pp. 496 - 512
Copyright
© Cambridge University Press 2020

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