On Some Generalized Orderings: In the Spirit of Relative Ageing

2014/10/20 by Nil Kamal Hazra, Asok K. Nanda, Hazra, Nil Kamal +1
Computer Science · Mathematics · #Applications (stat.AP) #Bayesian Methods and Mixture Models #FOS: Computer and information sciences #Statistical Distribution Estimation and Applications #Statistical Methods and Inference

paper · pdf · doi:10.48550/arxiv.1410.5163

openalex publication_date 2014/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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