Non-parametric estimation of cumulative (residual) extropy
Abstract
Extropy and its properties are explored to quantify the uncertainty. In this paper, we obtain alternative expressions for cumulative residual extropy and negative cumulative extropy. We obtain simple estimators of cumulative (residual) extropy. Asymptotic properties of the proposed estimators are studied. We also present new estimators of cumulative (residual) extropy when the data is right censored. The finite sample performance of the estimators is evaluated through Monte Carlo simulation studies. We use the proposed estimators to analyse different real data sets. Finally, we obtain the relationship between different dynamic and weighted extropy measures and reliability concepts, which leads to several open problems associated with these measures.
Cite
@article{arxiv.2108.06324,
title = {Non-parametric estimation of cumulative (residual) extropy},
author = {Sudheesh K. K. and Sreedevi E. P},
journal= {arXiv preprint arXiv:2108.06324},
year = {2021}
}
Comments
We obtain the relationship between different dynamic and weighted extropy measures and reliability concepts. These lead to several open problems associated with dynamic and weighted extropy measures