Cumulative information generating function and generalized Gini functions

Inequalities; stochastic orderings (60E15) Measures of information, entropy (94A17) Information theory (general) (94A15) Reliability and life testing (62N05)

Cites Work

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Bonferroni and Gini indices for various parametric families of distributions
On cumulative entropies
Stochastic orders
The reliability of k out of n systems
Some results on the proportional reversed hazards model
Bivariate extension of dynamic cumulative residual entropy
Fractional generalized cumulative entropy and its dynamic version
Some ordering results for the Marshall and Olkin's family of distributions
Convexity and robustness of the Rényi entropy
Information divergence and the generalized normal distribution: a study on symmetricity
Bayesian and classical estimation of reliability in a multicomponent stress-strength model under adaptive hybrid progressive censored data
Fractional cumulative residual entropy
On a family of coherent measures of variability
Stochastic comparisons of distorted variability measures
On the dynamic cumulative residual entropy
Proportional reversed hazard rate model and its applications
Generalized cumulative residual entropy and record values
More on a new concept of entropy and information
Jensen-information generating function and its connections to some well-known information measures
Cumulative Residual Entropy: A New Measure of Information
Estimation of Reliability in a Multicomponent Stress-Strength Model
Modeling failure time data by lehman alternatives
A probabilistic analogue of the mean value theorem and its applications to reliability theory
Local Entropy Statistics for Point Processes
ON GENERALIZED CUMULATIVE ENTROPIES
Measures, Integrals and Martingales
On the proportional odds model in survival analysis
Quantile-based Shannon entropy for record statistics
On cumulative Tsallis entropies
Cumulative and relative cumulative residual information generating measures and associated properties
Dynamic cumulative residual entropy generating function and its properties