Some aspects of reversed hazard rate and past entropy

N. Unnikrishnan Nair, S. M. Sunoj and Rajesh G.

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 9, 2106-2116

Abstract: The entropy of past lifetime is closely related to the reversed hazard rate. Since the reversed hazard rate of a non negative random variable with an absolutely continuous distribution can neither be constant nor monotonic increasing on the positive real line, there are limitations on deriving various properties of past entropy as well. In this work we investigate conditions under which reversed hazard rate can be increasing and can assume different non monotone shapes and use them to derive some new classes of past entropy-based life distributions and characterizations.

Date: 2021
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DOI: 10.1080/03610926.2019.1659970

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