Weighted fractional generalized cumulative past entropy and its properties

DOI10.1007/s11009-023-10035-0zbMath1519.94015arXiv2106.10312MaRDI QIDQ6176162

Narayanaswamy Balakrishnan, Suchandan Kayal

Publication date: 25 July 2023

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.10312

zbMATH Keywords

logistic mapfractional calculusempirical cumulative distribution functionreversed hazard rate modelweighted generalized cumulative past entropy

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Fractional derivatives and integrals (26A33) Measures of information, entropy (94A17)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• Entropies based on fractional calculus
• On cumulative entropies
• Some results on the proportional reversed hazards model
• Weyl and Marchaud derivatives: a forgotten history
• On weighted generalized cumulative residual entropy of order \(n\)
• On shift-dependent cumulative entropy measures
• Possible generalization of Boltzmann-Gibbs statistics.
• Fractional generalized cumulative entropy and its dynamic version
• An extension of weighted generalized cumulative past measure of information
• Fractional cumulative residual entropy
• Proportional reversed hazard rate model and its applications
• Weighted entropy
• Jensen-information generating function and its connections to some well-known information measures
• On weighted cumulative residual entropy
• Cumulative Residual Entropy: A New Measure of Information
• Modeling failure time data by lehman alternatives
• Further results on the generalized cumulative entropy
• A probabilistic analogue of the mean value theorem and its applications to reliability theory
• A shift-dependent generalized cumulative entropy of order n
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• On new inequalities for h-convex functions via Riemann-Liouville fractional integration
• On weighted generalized entropy
• Weighted Renyi's entropy for lifetime distributions
• ON GENERALIZED CUMULATIVE ENTROPIES
• On the k-Riemann-Liouville fractional derivative
• Extensive generalization of statistical mechanics based on incomplete information theory

This page was built for publication: Weighted fractional generalized cumulative past entropy and its properties