A NOTE ON THE RIGHT SPREAD ORDER ASSOCIATED WITH EXPONENTIAL DISTRIBUTIONS

A NOTE ON THE RIGHT SPREAD ORDER ASSOCIATED WITH EXPONENTIAL DISTRIBUTIONS

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摘要 It is shown that the total life of a parallel system with independent and identical （i.i.d.） exponential components is smaller in the right spread order than an exponential life with the sane mean as the system. As applications, simple upper bounds for the mean and the variance of the life length of a parallel system with i.i.d. NBUE components are established, as well as the preservation property of the convolution of NBUE and exponential randorn variables.

作者 Xiaohu LI

机构地区 School of Mathematics and Statistics

出处《Journal of Systems Science & Complexity》 SCIE EI CSCD 2006年第1期108-113,共6页 系统科学与复杂性学报（英文版）

基金 Supported by National Natural Science Foundation of China under Grant No.10201010 Action Programming of Lanzhou University.

关键词 CONVOLUTIONS dispersive order majorization NBUE parallel system right spread order. 并行系统优化指数分布 NBUE

分类号 O211 [理学—概率论与数理统计]

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参考文献10

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Journal of Systems Science & Complexity

2006年第1期

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A NOTE ON THE RIGHT SPREAD ORDER ASSOCIATED WITH EXPONENTIAL DISTRIBUTIONS

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