Some reliability properties of extropy for residual and past lifetime random variables

被引：11

作者：

Krishnan, Aswathy S. ^{[1
]}

Sunoj, S. M. ^{[1
]}

Nair, N. ^{[1
]}

机构：

[1] Cochin Univ Sci & Technol, Dept Stat, Cochin 682022, Kerala, India

来源：

JOURNAL OF THE KOREAN STATISTICAL SOCIETY | 2020年 / 49卷 / 02期

关键词：

Extropy; Quantile function; Reliability measures; Stochastic orders; Mean residual quantile function; ENTROPY; STATISTICS;

D O I：

10.1007/s42952-019-00023-x

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 the present paper, we study the residual extropy using distribution function and quantile function approaches. We also investigate extropy in past lifetime in both approaches. Some characterizations and ageing properties of these extropy measures are proposed. Different stochastic orders based on the residual and past lifetime extropy are also presented.

引用

页码：457 / 474

页数：18

共 27 条

[1]

Ayres R., 1995, ECON APPL, V48, P95

[2]

Bain L.J., 1978, STAT ANAL RELIABILIT

[3] Modelling N- and W-shaped hazard rate functions without mixing distributions [J].

Bebbington, M. ;

Lai, C. D. ;

Murthy, D. N. P. ;

Zitikis, R. .

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART O-JOURNAL OF RISK AND RELIABILITY, 2009, 223 (O1) :59-69

[4] Entropy-based measure of uncertainty in past lifetime distributions [J].

Di Crescenzo, A ;

Longobardi, M .

JOURNAL OF APPLIED PROBABILITY, 2002, 39 (02) :434-440

[5]

Ebrahimi N., 1996, Sankhya Series A, V58, P48, DOI DOI 10.1007/s11071-011-0281-2

[6] STUDIES IN THE HISTORY OF PROBABILITY AND STATISTICS .37. TURING,A.M. STATISTICAL WORK IN WORLD-WAR-2 [J].

GOOD, IJ .

BIOMETRIKA, 1979, 66 (02) :393-396

[7] SOME METHODS FOR SUMMARIZING SURVIVORSHIP DATA IN NONSTANDARD SITUATIONS [J].

GORE, AP ;

PARANJAPE, S ;

RAJARSHI, MB ;

GADGIL, M .

BIOMETRICAL JOURNAL, 1986, 28 (05) :577-586

[8] Residual extropy of k-record values [J].

Jose, Jitto ;

Sathar, E. I. Abdul .

STATISTICS & PROBABILITY LETTERS, 2019, 146 :1-6

[9] Extropy: Complementary Dual of Entropy [J].

Lad, Frank ;

Sanfilippo, Giuseppe ;

Agro, Gianna .

STATISTICAL SCIENCE, 2015, 30 (01) :40-58

[10]

Martinas K., 2000, PERIOD POLYTECH-CHEM, V44, P29

← 1 2 3 →