Characterization Results Based on Generalized Dynamic Information Measure

Abstract

In this paper, we consider a generalized past entropy of order [Formula: see text] and type [Formula: see text] and have characterized some distributions of random lifetimes in continuous and discrete situations. Further, we propose a weighted version of generalized past entropy for continuous and discrete cases and have proved the characterization results. Also, we study a generalized weighted residual entropy for the discrete case. At the end, the concept of generalized cumulative past entropy are also discussed.