Inequalities involving expectations of selected functions in reliability theory to characterize distributions

Chanchal Kundu and Amit Ghosh

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 17, 8468-8478

Abstract: Recently, authors have studied inequalities involving expectations of selected functions, viz. failure rate, mean residual life, aging intensity function, and log-odds rate which are defined for left truncated random variables in reliability theory to characterize some well-known distributions. However, there has been growing interest in the study of these functions in reversed time (X ⩽ x, instead of X > x) and their applications. In the present work we consider reversed hazard rate, expected inactivity time, and reversed aging intensity function to deal with right truncated random variables and characterize a few statistical distributions.

Date: 2017
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DOI: 10.1080/03610926.2016.1183784

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