SOME NEW RESULTS ON RÉNYI ENTROPY OF RESIDUAL LIFE AND INACTIVITY TIME

DOI10.1017/S0269964810000379zbMath1213.62008MaRDI QIDQ3000396

Shouhong Zhang, Xiaohu Li

Publication date: 18 May 2011

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32) Statistical aspects of information-theoretic topics (62B10) Reliability and life testing (62N05)

Related Items (7)

SOME EXTENSIONS OF THE RESIDUAL LIFETIME AND ITS CONNECTION TO THE CUMULATIVE RESIDUAL ENTROPY ⋮ Generalized residual entropy and upper record values ⋮ A DE BRUIJN'S IDENTITY FOR DEPENDENT RANDOM VARIABLES BASED ON COPULA THEORY ⋮ Rényi's residual entropy: a quantile approach ⋮ On the dynamic cumulative residual quantile entropy ordering ⋮ Some new results on the Rényi quantile entropy ordering ⋮ Some results on DDCRE class of life distributions

Cites Work

• Some results on residual entropy function
• Stochastic orders
• A note on reversed hazard rate of order statistics and record values
• Characterizations based on Rényi entropy of order statistics and record values
• Some new results on the cumulative residual entropy
• Residual entropy and its characterizations in terms of hazard function and mean residual life function.
• Dynamic generalized information measures
• Some results on generalized past entropy
• SOME RESULTS ON REVERSED HAZARD RATE
• Some reliability properties of order statistics
• Some partial ordering results on record values
• Entropy-based measure of uncertainty in past lifetime distributions
• On the dimension and entropy of probability distributions
• The Reversed Hazard Rate Function
• Rényi information, loglikelihood and an intrinsic distribution measure

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