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

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  • Arijit Patra
  • Chanchal Kundu

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.

Suggested Citation

  • Arijit Patra & Chanchal Kundu, 2022. "Stochastic comparisons and ageing properties of RLRT (ITRT) based on variance residual life," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(13), pages 4276-4295, June.
    • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:13:p:4276-4295
    DOI: 10.1080/03610926.2020.1812655
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    Cited by:

    1. Francisco Germán Badía & María Dolores Berrade, 2022. "On the Residual Lifetime and Inactivity Time in Mixtures," Mathematics, MDPI, vol. 10(15), pages 1-20, August.
    2. Mohamed Kayid & Mansour Shrahili, 2023. "Characterization Results on Lifetime Distributions by Scaled Reliability Measures Using Completeness Property in Functional Analysis," Mathematics, MDPI, vol. 11(6), pages 1-15, March.

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