Some properties of the cumulative residual entropy of coherent and mixed systems

A Toomaj, SM Sunoj, J Navarro - Journal of Applied Probability, 2017 - cambridge.org
Recently, Rao et al.(2004) introduced an alternative measure of uncertainty known as the
cumulative residual entropy (CRE). It is based on the survival (reliability) function F̅ instead …

Residual and past entropy in actuarial science and survival models

A Sachlas, T Papaioannou - Methodology and Computing in Applied …, 2014 - Springer
The best policy for an insurance company is that which lasts for a long period of time and is
less uncertain with reference to its claims. In information theory, entropy is a measure of the …

Bivariate extension of dynamic cumulative residual entropy

G Rajesh, EI Abdul-Sathar, KRM Nair, KV Reshmi - Statistical Methodology, 2014 - Elsevier
The cumulative residual entropy (CRE), introduced by Rao et al.(2004)[23], is viewed as a
dynamic measure of uncertainty. Recently Asadi and Zohrevand (2007)[2] proposed a …

On dynamic mutual information for bivariate lifetimes

J Ahmadi, A Di Crescenzo… - Advances in Applied …, 2015 - cambridge.org
We consider dynamic versions of the mutual information of lifetime distributions, with a focus
on past lifetimes, residual lifetimes, and mixed lifetimes evaluated at different instants. This …

Characterizations of bivariate models using dynamic Kullback–Leibler discrimination measures

J Navarro, SM Sunoj, MN Linu - Statistics & probability letters, 2011 - Elsevier
In this paper, the residual Kullback–Leibler discrimination information measure is extended
to conditionally specified models. The extension is used to characterize some bivariate …

Bivariate extension of (dynamic) cumulative past entropy

A Kundu, C Kundu - Communications in Statistics-Theory and …, 2017 - Taylor & Francis
Recently, the concept of cumulative residual entropy (CRE) has been studied by many
researchers in higher dimensions. In this article, we extend the definition of (dynamic) …

[HTML][HTML] Contrast Information Dynamics: A Novel Information Measure for Cognitive Modelling

ST Homer, N Harley, GA Wiggins - Entropy, 2024 - pmc.ncbi.nlm.nih.gov
We present contrast information, a novel application of some specific cases of relative
entropy, designed to be useful for the cognitive modelling of the sequential perception of …

Dependence and Uncertainty: Information Measures using Tsallis Entropy

SG Zachariah, M Arshad, AK Pathak - arxiv preprint arxiv:2502.12779, 2025 - arxiv.org
In multivariate analysis, uncertainty arises from two sources: the marginal distributions of the
variables and their dependence structure. Quantifying the dependence structure is crucial …

Multivariate Information Measures: A Copula-based Approach

M Arshad, SG Zachariah, AK Pathak - arxiv preprint arxiv:2408.02028, 2024 - arxiv.org
Multivariate datasets are common in various real-world applications. Recently, copulas have
received significant attention for modeling dependencies among random variables. A copula …

Bivariate extension of (dynamic) cumulative residual and past inaccuracy measures

A Ghosh, C Kundu - Statistical Papers, 2019 - Springer
In a recent paper, Kundu et al.(Metrika 79: 335–356, 2016) study the notion of cumulative
residual inaccuracy (CRI) and cumulative past inaccuracy (CPI) measures in univariate …