Some Properties of Cumulative Extropy and its Dynamic Past Version

被引：0
|
作者：
Mohamed, M. S. [1 ]
机构：
[1] Ain Shams Univ, Fac Educ, Dept Math, Cairo, Egypt
来源：
FILOMAT | 2022年 / 36卷 / 02期
关键词：
Extropy; mean inactivity time; non-parametric estimation; reversed hazard function; stochastic ordering; ORDERED RANDOM-VARIABLES; INACTIVITY TIME; ENTROPY; CONCOMITANTS;
D O I：
10.2298/FIL2202539M
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Extropy has been discussed in many works of literature as a complementary dual of Shannon's entropy function. In this paper, a replacement procedure of uncertainty of random variable, constructed on the cumulative distribution function F, called cumulative extropy is proposed. Some properties and features of the deemed measure are obtained. Moreover, the dynamic form of cumulative extropy is considered. Finally, non-parametric estimators for the proposed measure are included.
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页码：539 / 556
页数：18
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