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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Supported by National Natural Science Foundation of China under Grant No. 10201010 and Action Programming of Lanzhou University.
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LI, X. A Note on the Right Spread Order Associated with Exponential Distributions. Jrl Syst Sci & Complex 19, 108–113 (2006). https://doi.org/10.1007/s11424-006-0108-2
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DOI: https://doi.org/10.1007/s11424-006-0108-2