Relationships between cumulative entropy/extropy, Gini mean difference and probability weighted moments

被引：3
|
作者：
Kattumannil, Sudheesh K. [1 ]
Sreedevi, E. P. [2 ]
Balakrishnan, N. [3 ]
机构：
[1] Indian Stat Inst, Chennai, Tamil Nadu, India
[2] Maharajas Coll, Eranakulam, Kerala, India
[3] McMaster Univ, Hamilton, ON L8S 4L8, Canada
来源：
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES | 2024年 / 38卷 / 01期
关键词：
Cumulative past entropy; Cumulative residual entropy; Extropy; Gini mean difference; Probability weighted moments; Weighted cumulative residual entropy;
D O I：
10.1017/S026996482200047X
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work, we establish a connection between the cumulative residual entropy and the Gini mean difference (GMD). Some relationships between the extropy and the GMD, and the truncated GMD and dynamic versions of the cumulative past extropy are also established. We then show that several entropy and extropy measures discussed here can be brought into the framework of probability weighted moments, which would facilitate finding estimators of these measures.
引用
收藏
页码：28 / 38
页数：11
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