Characterizations of Discrete Weibull related distributions

被引：11

作者：

Szymkowiak, Magdalena ^{[1
]}

Iwinska, Maria ^{[2
]}

机构：

[1] Poznan Univ Tech, Chair Control & Syst Engn, Pl M Sklodowskiej Curie 5, PL-60965 Poznan, Poland

[2] Poznan Univ Tech, Inst Math, Pl M Sklodowskiej Curie 5, PL-60965 Poznan, Poland

来源：

STATISTICS & PROBABILITY LETTERS | 2016年 / 111卷

关键词：

Discrete failure rate; Discrete aging and alternative aging intensities; Characterization; Discrete Weibull distributions; Discrete aging intensity order; FAILURE RATE;

D O I：

10.1016/j.spl.2016.01.004

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 this paper discrete aging intensity and discrete alternative aging intensity functions are introduced. Further, using these functions we characterize some Discrete Weibull related distributions. Although, these discrete distributions have their continuous equivalents, quite often they seem to be more convenient in reliability analysis of elements and systems. Finally, for the considered class of Modified Discrete Weibull distributions a discrete aging intensity order is studied. This order allows us to decide that one random variable has the better aging property than the other one. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：41 / 48

页数：8

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