Stochastic comparisons and ageing properties of RLRT (ITRT) based on variance residual life

Arijit Patra and Chanchal Kundu

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 13, 4276-4295

Abstract: Stochastic comparisons and ageing properties of residual life (inactivity time) of a random variable X at random time Y (RLRT/ITRT) taking X and Y independent have been investigated in the literature. In this article, we consider X and Y not necessarily independent and obtain stochastic comparison results for RLRT and ITRT based on variance residual life (VRL) order. We also study various ageing properties of RLRT/ITRT based on the associated classes of life distributions of VRL. An application of one of the results derived in this paper is also illustrated.

Date: 2022
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DOI: 10.1080/03610926.2020.1812655

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