Connections of Gini, Fisher, and Shannon by Bayes risk under proportional hazards

DOI10.1017/jpr.2017.51zbMath1401.62193OpenAlexW2772793040MaRDI QIDQ4684907

Ehsan S. Soofi, Nader Ebrahimi, Majid Asadi

Publication date: 26 September 2018

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jpr.2017.51

zbMATH Keywords

mean residual lifeequilibrium distributiongeneralized entropyentropy functionalescort distributioncumulative hazardexcess cost

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Information theory (general) (94A15) Statistical aspects of information-theoretic topics (62B10) Reliability and life testing (62N05)

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Optimal hazard models based on partial information, Jensen-information generating function and its connections to some well-known information measures, A new measure of association between random variables, Generalized cumulative residual Tsallis entropy and its properties, A unified approach to constructing correlation coefficients between random variables, On reconsidering entropies and divergences and their cumulative counterparts: Csiszár's, DPD's and Fisher's type cumulative and survival measures, Cumulative and relative cumulative residual information generating measures and associated properties, Some new findings on the cumulative residual Tsallis entropy, Optimal information, Jensen-RIG function and \(\alpha\)-Onicescu's correlation coefficient in terms of information generating functions

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