ON GENERALIZED CUMULATIVE ENTROPIES

DOI10.1017/S0269964816000218zbMath1370.94387OpenAlexW2441016763MaRDI QIDQ5358101

Suchandan Kayal

Publication date: 19 September 2017

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

Full work available at URL: https://doi.org/10.1017/s0269964816000218

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Point estimation (62F10) Measures of information, entropy (94A17)

Related Items (20)

Quantile-based Chernoff distance for truncated random variables ⋮ PROPERTIES FOR GENERALIZED CUMULATIVE PAST MEASURES OF INFORMATION ⋮ Asymptotic results for linear combinations of spacings generated by i.i.d. exponential random variables ⋮ Weighted extensions of generalized cumulative residual entropy and their applications ⋮ Cumulative residual entropy applied to testing uniformity ⋮ A shift-dependent generalized cumulative entropy of order n ⋮ On negative cumulative extropy with applications ⋮ An extension of weighted generalized cumulative past measure of information ⋮ On cumulative Tsallis entropies ⋮ Testing uniformity based on negative cumulative extropy ⋮ Weighted fractional generalized cumulative past entropy and its properties ⋮ Fractional cumulative residual entropy ⋮ A residual inaccuracy measure based on the relevation transform ⋮ Fractional generalized cumulative entropy and its dynamic version ⋮ Failure extropy, dynamic failure extropy and their weighted versions ⋮ Characterization of continuous symmetric distributions using information measures of records ⋮ A past inaccuracy measure based on the reversed relevation transform ⋮ Extended cumulative entropy based on \(k\)th lower record values for the coherent systems lifetime ⋮ Cumulative past Fisher information measure and its extensions ⋮ Generalized weighted survival and failure entropies and their dynamic versions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• On cumulative entropies
• Some results on residual entropy function
• Stochastic orders
• Some new results on the cumulative residual entropy
• Some results on ordering of survival functions through uncertainty
• Some results on the proportional reversed hazards model
• Possible generalization of Boltzmann-Gibbs statistics.
• Some distributional results through past entropy
• On the dynamic cumulative residual entropy
• Proportional reversed hazard rate model and its applications
• Generalized cumulative residual entropy and record values
• Residual and past entropy in actuarial science and survival models
• Some results on generalized past entropy
• More on a new concept of entropy and information
• Extension of the past lifetime and its connection to the cumulative entropy
• Entropy-based measure of uncertainty in past lifetime distributions
• Cumulative Residual Entropy: A New Measure of Information
• New partial ordering of survival functions based on the notion of uncertainty
• The Reversed Hazard Rate Function
• Some results on the mean residual waiting time of records
• Elements of Information Theory

This page was built for publication: ON GENERALIZED CUMULATIVE ENTROPIES