Far East Journal of Theoretical Statistics
Volume 50, Issue 1, Pages 1 - 9
(January 2015) http://dx.doi.org/10.17654/FJTSJan2015_001_009 |
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ON REVERSED HAZARD ORDERING OF PARALLEL SYSTEMS WITH EXPONENTIAL COMPONENTS
Jiantian Wang
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Abstract: This paper considers reversed hazard ordering of two parallel systems with exponential components. We provide a simple and direct proof for the result that when the hazard rate vector of one system weakly majorizes that of the other one, there exists reversed hazard ordering between the two systems. |
Keywords and phrases: majorization, order statistics, parallel system, reversed hazard rate order, stochastic comparison. |
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