On Some Generalized Orderings: In the Spirit of Relative Ageing
Applications
2014-10-21 v1
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.
Keywords
Cite
@article{arxiv.1410.5163,
title = {On Some Generalized Orderings: In the Spirit of Relative Ageing},
author = {Nil Kamal Hazra and Asok K. Nanda},
journal= {arXiv preprint arXiv:1410.5163},
year = {2014}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1410.1985