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Recently, authors have studied inequalities involving expectations ofselected functions viz. failure rate, mean residual life, aging intensityfunction and log-odds rate which are defined for left truncated randomvariables in reliability theory to characterize some well-known distributions.However, there has been growing interest in the study of these functions inreversed time and their applications. In the present work we consider reversedhazard rate, expected inactivity time and reversed aging intensity function todeal with right truncated random variables and characterize a few statisticaldistributions.

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