Reliability and non-reliability studies of Poisson variables in series and parallel systems

被引：2
|
作者：
Gupta, Pushpa L. [3 ]
Gupta, Ramesh C. [3 ]
Ong, Seng-Huat [2 ]
Srivastava, H. M. [1 ]
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada
[2] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia
[3] Univ Maine, Dept Math & Stat, Orono, ME 04469 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 09期
关键词：
Poisson distribution; Minimum and maximum; Poisson and discrete random variables; Hazard rate; Reversed hazard rate; Monotonicity; Modified Bessel function; DISTRIBUTIONS;
D O I：
10.1016/j.amc.2011.10.076
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we have derived the distribution of the minimum and maximum of two independent Poisson random variables. A useful procedure for computing the probabilities is given and a total of four numerical examples are presented. Of these four examples, the first two are on the generated data and the other two are on the Champion League Soccer data in order to illustrate the model which is considered here. The hazard rate and the reversed hazard rate, of the minimum and maximum of two independent discrete random variables, are also obtained and their monotonicity is investigated. The results for the Poisson-distributed variables are obtained as special cases. (C) 2011 Elsevier Inc. All rights reserved.
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页码：5112 / 5120
页数：9
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