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Some Results on Quantile-based Dynamic Survival and Failure Tsallis Entropy

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Non-additive entropymeasures are important formany applications. In this paper, we introduce a quantile-based non-additive entropy measure, based on Tsallis entropy and study their properties. Some relationships of this measure with… Click to show full abstract

Non-additive entropymeasures are important formany applications. In this paper, we introduce a quantile-based non-additive entropy measure, based on Tsallis entropy and study their properties. Some relationships of this measure with well-known reliability measures and ageing classes are studied and some characterization results are presented. Also the concept of quantile-based shift independent entropy measures has been introduced and studied various properties.

Keywords: dynamic survival; quantile based; based dynamic; tsallis entropy; survival failure; results quantile

Journal Title: Tamkang Journal of Mathematics
Year Published: 2021

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