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On some generalized orderings: In the spirit of relative ageing

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  • Nil Kamal Hazra
  • Asok K. Nanda

Abstract

We introduce some new generalized stochastic orderings (in the spirit of relative ageing) which compare probability distributions with the exponential distribution. These orderings are useful to understand the phenomenon of positive ageing classes and also helpful to guide the practitioners when there are crossing hazard rates and/or crossing mean residual lives. We study some characterizations of these orderings. Inter-relations among these orderings have also been discussed.

Suggested Citation

  • Nil Kamal Hazra & Asok K. Nanda, 2016. "On some generalized orderings: In the spirit of relative ageing," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(20), pages 6165-6181, October.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:20:p:6165-6181
    DOI: 10.1080/03610926.2014.957862
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    Cited by:

    1. Elham Khaleghpanah Noughabi & Majid Chahkandi & Majid Rezaei, 2022. "On the Mean and Variance Residual Life Comparisons of Coherent Systems with Identically Distributed Components," Methodology and Computing in Applied Probability, Springer, vol. 24(4), pages 2801-2822, December.

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