Statistics, ( ISI ), Volume (54), No (2), Year (2020-3) , Pages (281-290)

Title : ( Asymptotic properties of the estimator of cumulative residual entropy )

Authors: Raheleh Zamini , Vahid Fakoor , mahboubeh akbari lakeh ,

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Abstract

Cumulative residual entropy is a measure of uncertainty that has a central role in reliability and survival studies. In this paper, a modied estimator of the cumulative residual entropy is proposed, and some of its asymptotic properties, including the strong consistency with rate and asymptotic normality, are investigated.

Keywords

Asymptotic normality; Cumulative residual entropy; Frechet differential; Rate of convergence; Strong consistency.