Stochastic comparisons of series and parallel systems with generalized linear failure rate components |
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| Authors: | Longxiang Fang N Balakrishnan |
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| Institution: | 1. Department of Mathematics and Computer Science, Anhui Normal University, Wuhu, China;2. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada |
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| Abstract: | In this paper, we discuss stochastic comparisons of series and parallel systems comprising independent and heterogeneous generalized linear failure rate components. When a system with possibly different shape and scale parameters has its matrix of parameters changing to another matrix of parameters in a certain mathematical sense, we examine the usual stochastic order of the smallest and largest order statistics under such a setup. Copyright © 2017 John Wiley & Sons, Ltd. |
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| Keywords: | order statistic lifetime usual stochastic order multivariate chain majorization T‐transform matrix 2000 MSC: 60E15 62G30 62D05 62N05 |
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