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

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