ON CUMULATIVE RESIDUAL EXTROPY

被引：67

作者：

Jahanshahi, S. M. A. ^{[1
]}

Zarei, H. ^{[1
]}

Khammar, A. H. ^{[2
]}

机构：

[1] Univ Sistan & Baluchestan, Dept Stat, Zahedan, Iran

[2] Univ Birjand, Dept Stat, Birjand, Iran

来源：

PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES | 2020年 / 34卷 / 04期

关键词：

cumulative residual extropy; estimation; Gini index; independence; proportional hazard model; risk measurs; stop-loss transform; stochastic orders;

D O I：

10.1017/S0269964819000196

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Recently, an alternative measure of uncertainty called extropy is proposed by Lad et al. [12]. The extropy is a dual of entropy which has been considered by researchers. In this article, we introduce an alternative measure of uncertainty of random variable which we call it cumulative residual extropy. This measure is based on the cumulative distribution function F. Some properties of the proposed measure, such as its estimation and applications, are studied. Finally, some numerical examples for illustrating the theory are included.

引用

页码：605 / 625

页数：21

共 30 条

[1] [Anonymous], 2003, METRON INT J STAT
[2] Arnold BC., 1992, Records
[3] On the dynamic cumulative residual entropy
Asadi, Majid
Zohrevand, Younes
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2007, 137 (06) : 1931 - 1941
[4] Mixture inverse Gaussian distributions and its transformations, moments and applications
Balakrishnan, N.
Leiva, Victor
Sanhueza, Antonio
Cabrera, Enrique
[J]. STATISTICS, 2009, 43 (01) : 91 - 104
[5] Best DJ, 2010, SANKHYA SER B, V72, P254, DOI 10.1007/s13571-011-0011-2
[6] Chhikara RS., 1989, The inverse Gaussian distribution: theory, methodology, and applications
[7] David H. A., 2003, Order statistics
[8] Mathematical inequalities for some divergences
Furuichi, Shigeru
Mitroi, Flavia-Corina
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2012, 391 (1-2) : 388 - 400
[9] Strictly proper scoring rules, prediction, and estimation
Gneiting, Tilmann
Raftery, Adrian E.
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2007, 102 (477) : 359 - 378
[10] Proportional reversed hazard rate model and its applications
Gupta, Ramesh C.
Gupta, Rameshwar D.
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2007, 137 (11) : 3525 - 3536

← 1 2 3 →