Order statistics of uncertain random variables with application to k-out-of-n system

Rong Gao (), Yan Sun and Dan A. Ralescu
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Rong Gao: Tsinghua University
Yan Sun: Utah State University
Dan A. Ralescu: University of Cincinnati

Fuzzy Optimization and Decision Making, 2017, vol. 16, issue 2, No 2, 159-181

Abstract: 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.

Keywords: Uncertainty theory; Uncertain random variable; Order statistics; k-Out-of-n system (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10700-016-9245-9

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