Order statistics of uncertain random variables with application to <Emphasis Type="Italic">k</Emphasis>-out-of-<Emphasis Type="Italic">n</Emphasis> system |
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| Authors: | Rong Gao Yan Sun Dan A Ralescu |
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| Institution: | 1.Department of Mathematical Sciences,Tsinghua University,Beijing,China;2.Department of Mathematics and Statistics,Utah State University,Logan,USA;3.Department of Mathematical Sciences,University of Cincinnati,Cincinnati,USA |
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| Abstract: | Uncertain random variables are tools to deal with a mixture of uncertainty and randomness. A new concept of order statistics associated with uncertain random variables is proposed, and is applied to analyze k-out-of-n systems with uncertain random lifetimes. The chance distributions of order statistics of uncertain random variables are derived from the operational law of uncertain random variables. Finally, the reliability of k-out-of-n systems with uncertain random lifetimes is discussed. |
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