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Chakraborty, Siddhartha; Pradhan, Biswabrata

Generalized weighted survival and failure entropies and their dynamic versions. (English) Zbl 07649638

Commun. Stat., Theory Methods 52, No. 3, 730-750 (2023).
Summary: Generalized weighted survival and failure entropies of order \((\theta_1, \theta_2)\) 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.

Cited in 2 Documents

MSC:

62-XX Statistics

Keywords:

empirical distribution function; entropy; goodness-of-fit test; hazard rate; proportional hazard rate model
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References:

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