Varentropy of inactivity time of a random variable and its related applications

被引：7

作者：

Raqab, Mohammad Z. ^{[1
]}

Bayoud, Husam A. ^{[2
]}

Qiu, Guoxin ^{[3
,4
]}

机构：

[1] Univ Jordan, Dept Math, Amman 11942, Jordan

[2] Fahad Bin Sultan Univ, Coll Sci & Humanities, Tabuk 71454, Saudi Arabia

[3] Xinhua Univ Anhui, Sch Business, Hefei 230088, Peoples R China

[4] Univ Sci & Technol China, Sch Management, Hefei 230026, Peoples R China

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2022年 / 39卷 / 01期

关键词：

entropy; inactivity time; past entropy; reversed hazard rate; varentropy; REVERSED HAZARD RATE; ENTROPY; INFORMATION; VARIANCE;

D O I：

10.1093/imamci/dnab033

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The information content of a random variable is of importance in the field of information theory. The mean and the variance of the information content of a random variable are called entropy and varentropy of this random variable, respectively. The varentropy of the inactivity time of a random variable is studied and termed by past varentropy in this paper. Reliability properties associated with the past varentropy and the reversed hazard rate function are discussed. Lower and upper bounds for the past varentropy are provided. The varentropy is applied for the proportional reversed hazard rate model. Also, asymptotic distribution for the information content of the inactivity time of a random variable is provided based on past entropy and varentropy.

引用

页码：132 / 154

页数：23

共 27 条

[1] Varentropy of doubly truncated random variable
Sharma, Akash
Kundu, Chanchal
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2023, 37 (03) : 852 - 871
[2] ANALYSIS AND APPLICATIONS OF THE RESIDUAL VARENTROPY OF RANDOM LIFETIMES
Di Crescenzo, Antonio
Paolillo, Luca
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2021, 35 (03) : 680 - 698
[3] Weighted (residual) varentropy and its applications
Saha, Shital
Kayal, Suchandan
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 442
[4] Weighted Mean Inactivity Time Function with Applications
Di Crescenzo, Antonio
Toomaj, Abdolsaeed
MATHEMATICS, 2022, 10 (16)
[5] Further results on residual life and inactivity time at random time
Patra, Arijit
Kundu, Chanchal
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2020, 49 (05) : 1261 - 1271
[6] Multivariate quantile inactivity time with medical applications
Kayid, Mohamed
AIP ADVANCES, 2024, 14 (12)
[7] Stochastic comparison of residual life and inactivity time at a random time
Li, XH
Zuo, MJ
STOCHASTIC MODELS, 2004, 20 (02) : 229 - 235
[8] Bounds on the Entropy of a Function of a Random Variable and Their Applications
Cicalese, Ferdinando
Gargano, Luisa
Vaccaro, Ugo
IEEE TRANSACTIONS ON INFORMATION THEORY, 2018, 64 (04) : 2220 - 2230
[9] Dynamic multivariate quantile inactivity time and applications in investigation of a treatment effect
Kayid, Mohamed
AIMS MATHEMATICS, 2024, 9 (11): : 30000 - 30014
[10] Some new results about the variance inactivity time ordering with applications
Kayid, M.
Izadkhah, S.
APPLIED MATHEMATICAL MODELLING, 2016, 40 (5-6) : 3832 - 3842

← 1 2 3 →