On Cumulative Entropies in Terms of Moments of Order Statistics

被引：17
|
作者：
Balakrishnan, Narayanaswamy [1 ]
Buono, Francesco [2 ]
Longobardi, Maria [2 ]
机构：
[1] McMaster Univ, Hamilton, ON, Canada
[2] Univ Napoli Federico II, Naples, Italy
来源：
METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY | 2022年 / 24卷 / 01期
关键词：
Cumulative entropies; Order statistics; Moments;
D O I：
10.1007/s11009-021-09850-0
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this paper, relations between some kinds of cumulative entropies and moments of order statistics are established. By using some characterizations and the symmetry of a non-negative and absolutely continuous random variable X, lower and upper bounds for entropies are obtained and illustrative examples are given. By the relations with the moments of order statistics, a method is shown to compute an estimate of cumulative entropies and an application to testing whether data are exponentially distributed is outlined.
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页码：345 / 359
页数：15
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