On the estimation of varextropy

Abstract

Recently, Vaselabadi NM, Tahmasebi S, Kazemi MR, et al. [Results on Varextropy Measure of Random Variables. Entropy . 2021;23:356. doi:10.3390/e23030356] provided some results on a dispersion measure of extropy of random variables which is called varextropy and studied several properties of this concept. The present article introduces some estimators of the varextropy of a continuous random variable. Properties of the proposed estimators are stated, and comparisons are made in term of the bias and mean squared error. The results of a simulation study show the estimators have a good performance in terms of bias and mean squared error.

KEYWORDS:

• Extropy
• varextropy
• nonparametric Kernel density estimation
• bias
• mean squared error
• simulation

Acknowledgement

The authors are grateful to anonymous referees and the associate editor for providing some useful comments on an earlier version of this manuscript.

Disclosure statement

No potential conflict of interest was reported by the author(s).