Some aging properties of parallel and series systems with a random number of components |
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| Authors: | Nil Kamal Hazra Asok K. Nanda Moshe Shaked |
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| Affiliation: | 1. Department of Mathematics and Statistics, I.I.S.E.R. Kolkata, Mohanpur Campus, , Mohanpur 741252, India;2. Department of Mathematics, University of Arizona, , Tucson, Arizona, 85718 |
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| Abstract: | In this article, we study aging properties of parallel and series systems with a random number of components. We show that the decreasing likelihood ratio property is closed under the formation of random minima. We also show, by counterexamples, that other aging properties are not closed under the formation of random minima or maxima. Some mistakes in the literature are corrected. © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 238–243, 2014 |
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| Keywords: | increasing likelihood ratio increasing failure rate increasing failure rate average decreasing mean residual life new better than used new better than used in the convex order new better than used in expectation random minima random maxima |
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