On some generalized orderings: In the spirit of relative ageing

Nil Kamal Hazra and Asok K. Nanda

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 20, 6165-6181

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.

Date: 2016
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DOI: 10.1080/03610926.2014.957862

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