Generalized weighted survival and failure entropies and their dynamic versions

Siddhartha Chakraborty and Biswabrata Pradhan

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 3, 730-750

Abstract: Generalized weighted survival and failure entropies of order (θ1,θ2) are proposed and their properties are obtained. We further propose the dynamic versions of weighted generalized survival and failure entropies and obtain some properties and bounds. Characterization for Rayleigh and power distributions is done by dynamic weighted generalized entropies. We further consider the empirical versions of generalized weighted survival and failure entropies and, using the difference between theoretical and empirical survival entropies, a test for exponentiality is considered.

Date: 2023
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DOI: 10.1080/03610926.2021.1921803

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