Entropy generating function for past lifetime and its properties

Author:

Smitha S., Sudheesh K Kattumannil

Keyword:

Computer Science, Information Theory, Information Theory (cs.IT), Statistics Theory (math.ST), Methodology (stat.ME)

journal:

date:

2023-11-20 00:00:00

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.

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