On some generalized ageing orderings
Asok K. Nanda, Nil Kamal Hazra, D.K. Al-Mutairi, M.E. Ghitany
TL;DR
This paper introduces new generalized partial orderings to better understand aging phenomena in probability distributions, providing equivalent conditions and exploring their inter-relations.
Contribution
It presents novel generalized aging orderings, expanding the tools for analyzing aging in probability distributions with new equivalences and relationships.
Findings
New generalized aging orderings introduced
Equivalent conditions for each ordering established
Inter-relations among orderings discussed
Abstract
Some partial orderings which compare probability distributions with the expo- nential distribution, are found to be very useful to understand the phenomenon of ageing. Here, we introduce some new generalized partial orderings which de- scribe the same kind of characterization of some generalized ageing classes. We give some equivalent conditions for each of the orderings. Inter-relations among the generalized orderings have also been discussed.
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Taxonomy
TopicsStatistical Distribution Estimation and Applications · Fuzzy Systems and Optimization · Bayesian Methods and Mixture Models