Entropy Generating Function for Past Lifetime and its Properties

Дата публикации: 21-07-2026 00:00:00

Past entropy serves as a measure of uncertainty for the past lifetime distributions. The generating function approach to entropy become popular in recent times as it generates 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.

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