A Dynamic Discrimination Information Based On Cumulative Residual Entropy And Its Properties

DOI10.1080/03610926.2012.729639zbMath1309.94054OpenAlexW2018094923MaRDI QIDQ5419346

S. Baratpour, A. Chamany

Publication date: 6 June 2014

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2012.729639

zbMATH Keywords

Kullback-Leibler divergenceShannon entropyhazard rate ordercumulative residual entropymean residual life-time functionnew better (worse) than used

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Measures of information, entropy (94A17) Reliability and life testing (62N05)

Related Items (14)

On cumulative residual (past) inaccuracy for truncated random variables ⋮ Testing exponentiality of the residual life, based on dynamic cumulative residual entropy ⋮ ON THE ELASTICITY OF EXPECTED INTEREPOCH INTERVALS IN A NON-HOMOGENEOUS POISSON PROCESS UNDER SMALL VARIATIONS OF HAZARD RATE ⋮ Complexity analysis of time series based on generalized fractional order cumulative residual distribution entropy ⋮ Cumulative residual Kullback-Leibler information with the progressively type-II censored data ⋮ Characterizations based on generalized cumulative residual entropy functions ⋮ Renyi entropy properties of mixed systems ⋮ Some results on information properties of coherent systems ⋮ Quantile-based cumulative Kullback–Leibler divergence ⋮ Proportional hazards model with quantile functions ⋮ Some properties of Lin–Wong divergence on the past lifetime data ⋮ Stochastic comparisons of interfailure times under a relevation replacement policy ⋮ Bivariate extension of (dynamic) cumulative past entropy ⋮ Some new results on information properties of mixture distributions

Cites Work

• A Mathematical Theory of Communication
• Stochastic orders
• A measure of discrimination between two residual life-time distributions and its applications
• On the dynamic cumulative residual entropy
• Properties of proportional mean residual life model
• More on a new concept of entropy and information
• Characterizations Based on Cumulative Residual Entropy of First-Order Statistics
• Testing Goodness-of-Fit for Exponential Distribution Based on Cumulative Residual Entropy
• Cumulative Residual Entropy: A New Measure of Information
• Elements of Information Theory
• On Information and Sufficiency
• The Power of Rank Tests

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