On some generalized ageing orderings

Asok K. Nanda, Nil Kamal Hazra, D. K. Al-Mutairi and M. E. Ghitany

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 11, 5273-5291

Abstract: Some partial orderings that compare probability distributions with the exponential distribution are found to be very useful to understand the phenomenon of ageing. Here, we introduce some new generalized partial orderings which describe the same kind of phenomenon 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.

Date: 2017
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DOI: 10.1080/03610926.2015.1100738

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