Copula-based extropy measures, properties and dependence in bivariate distributions
Statistics Theory
2024-06-04 v2 Statistics Theory
Abstract
In this work, we propose extropy measures based on density copula, distributional copula, and survival copula, and explore their properties. We study the effect of monotone transformations for the proposed measures and obtain bounds. We establish connections between cumulative copula extropy and three dependence measures: Spearman's rho, Kendall's tau, and Blest's measure of rank correlation. Finally, we propose estimators for the cumulative copula extropy and survival copula extropy with an illustration using real life datasets.
Keywords
Cite
@article{arxiv.2311.08061,
title = {Copula-based extropy measures, properties and dependence in bivariate distributions},
author = {Shital Saha and Suchandan Kayal},
journal= {arXiv preprint arXiv:2311.08061},
year = {2024}
}