On estimation of cumulative residual extropy and its quantile version

Article Type

Research Article

Publication Title

Ricerche di Matematica

Abstract

Recently, cumulative residual extropy has been introduced in the literature as an alternative measure of information. We propose two estimators of cumulative residual extropy and compare their performance with existing kernel based estimator by simulation. Asymptotic properties of the estimators are studied. Also we propose two estimators of quantile cumulative residual extropy measure and show that these estimators are consistent and asymptotically normally distributed. Two data sets are analysed for illustrative purposes. The proposed estimators perform reasonably well.

DOI

https://10.1007/s11587-022-00757-7

Publication Date

1-1-2023

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