A note on the right spread order associated with exponential distributions

Xiaohu Li

doi:10.1007/s11424-006-0108-2

A note on the right spread order associated with exponential distributions

Xiaohu Li

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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 same 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 random variables.

Original language	English
Pages (from-to)	108-113
Number of pages	6
Journal	Journal of Systems Science and Complexity
Volume	19
Issue number	1
DOIs	https://doi.org/10.1007/s11424-006-0108-2
State	Published - Mar 2006

Keywords

Convolution
Dispersive order
Majorization
NBUE
Parallel system
Right spread order

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10.1007/s11424-006-0108-2

Cite this

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abstract = "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 same 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 random variables.",

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AB - 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 same 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 random variables.

KW - Convolution

KW - Dispersive order

KW - Majorization

KW - NBUE

KW - Parallel system

KW - Right spread order

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A note on the right spread order associated with exponential distributions

Abstract

Keywords

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