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Entropy generating function for past lifetime and its properties (2312.02177v1)
Published 20 Nov 2023 in cs.IT, math.IT, math.ST, stat.ME, and stat.TH
Abstract: The past entropy is considered as an uncertainty measure for the past lifetime distribution. Generating function approach to entropy become popular in recent time as it generate several well-known entropy measures. In this paper, we introduce the past entropy-generating function. We study certain properties of this measure. It is shown that the past entropy-generating function uniquely determines the distribution. Further, we present characterizations for some lifetime models using the relationship between reliability concepts and the past entropy-generating function.