Entropy generating function for past lifetime and its properties

Smitha S.; Sudheesh K Kattumannil

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arXiv · 2312.02177

Entropy generating function for past lifetime and its properties

Smitha S.·Sudheesh K Kattumannil

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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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Smitha S., Sudheesh K Kattumannil. 2023-11-20. Entropy generating function for past lifetime and its properties. https://arxiv.org/abs/2312.02177

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