Distribution of order statistics with varying number of components in reliability systems |
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| Authors: | N Singh VSS Yadavalli |
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| Affiliation: | 1Department of Mathematics, Monash University, Clayton, Vic. 3168, Australia;2Department of Mathematical Statistics, University of North, Private Bag X1106, Sovenga, Republic of South Africa |
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| Abstract: | In this paper the authors consider the general problem of determining the reliability of complex systems such as series, parallel etc., when the number of components constituting these complex systems is a random variable following distributions belonging to power series and exponential families. The importance of the study of the distribution of order statistics when the sample size is a random variable is shown in the reliability theory. |
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