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.
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页数：11
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