MRL ordering of parallel systems with two heterogeneous components |
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| Authors: | Peng Zhao N Balakrishnan |
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| Institution: | a School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China
b Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1 |
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| Abstract: | In this paper, we investigate ordering properties of lifetimes of parallel systems with two independent heterogeneous exponential components in terms of the mean residual life order. We establish, among others, that the reciprocal majorization order between parameter vectors implies the mean residual life order between the lifetimes of two parallel systems. We then extend this result to the proportional hazard rate models. |
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| Keywords: | Hazard rate order Likelihood ratio order Mean residual life order Majorization p-Larger order Reciprocal majorization order Parallel system |
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