Characterizations of the Exponential Distribution by Some Random Hazard Rate Sequences

被引：1

作者：

Shrahili, Mansour ^{[1
]}

Kayid, Mohamed ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia

来源：

MATHEMATICS | 2022年 / 10卷 / 17期

关键词：

hazard rate; lifetime; characterization; completeness; residual life at random time; RESIDUAL LIFE; INACTIVITY TIME; STOCHASTIC PROPERTIES; CONVOLUTIONS;

D O I：

10.3390/math10173052

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, several characterizations for exponential distribution are derived from a new relative hazard rate measure. This measure is closely related to the concept of remaining lifetime at a random time. It considers the random times specified by the order statistics of a sample, the convolution of random variables, and the record values of a sequence of random variables. The concept of completeness in functional analysis provides the technical background to obtain the main results.

引用

页数：11

共 50 条

[1] Moment-Based Characterizations of the Exponential Distribution in the Class of Distributions with Monotone Hazard Rate
Ushakov N.G.
Ushakov V.G.
[J]. Journal of Mathematical Sciences, 2018, 234 (6) : 759 - 769
[2] SOME CHARACTERIZATIONS OF EXPONENTIAL DISTRIBUTION BY GEOMETRIC COMPOUNDING
ARNOLD, BC
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1973, 24 (02) : 242 - 244
[3] HAZARD FUNCTION AND CHARACTERIZATIONS ON DISTRIBUTION TAILS OF NONNEGATIVE RANDOM VARIABLES
Cheng Fengyang Wang YuebaoSchool of Math. Sci.
[J]. Applied Mathematics:A Journal of Chinese Universities, 2003, (03) : 287 - 293
[4] Hazard function and characterizations on distribution tails of nonnegative random variables
Fengyang Cheng
Yuebao Wang
[J]. Applied Mathematics-A Journal of Chinese Universities, 2003, 18 (3) : 287 - 293
[5] SOME CHARACTERIZATIONS OF EXPONENTIAL DISTRIBUTION BY UPPER RECORD VALUES
Ahsanullah, M.
[J]. PAKISTAN JOURNAL OF STATISTICS, 2010, 26 (01): : 69 - 75
[6] SOME CHARACTERIZATIONS OF THE EXPONENTIAL DISTRIBUTION BASED ON ORDER STATISTICS
Milosevic, Bojana
Obradovic, Marko
[J]. APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2016, 10 (02) : 394 - 407
[7] Characterizations of the exponential distribution by the concept of residual life at random time
Kayid, M.
Izadkhah, S.
[J]. STATISTICS & PROBABILITY LETTERS, 2015, 107 : 164 - 169
[8] Characterizations of Exponential Distribution Based on Two-Sided Random Shifts
Chakraborty, Santanu
Yanev, George P.
[J]. JOURNAL OF STATISTICAL THEORY AND APPLICATIONS, 2018, 17 (03): : 408 - 418
[9] Characterizations of Exponential Distribution Based on Two-Sided Random Shifts
Santanu Chakraborty
George P. Yanev
[J]. Journal of Statistical Theory and Applications, 2018, 17 (3): : 408 - 418
[10] Fuzzy Hazard Rate Function for Mixed Exponential and Maxwell Distribution
Zaki, Lect Azzah Hazem
[J]. INDUSTRIAL ENGINEERING AND MANAGEMENT SYSTEMS, 2023, 22 (01): : 43 - 50

← 1 2 3 4 5 →