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

Author

Listed:
  • Rong Gao

    (Tsinghua University)

  • Yan Sun

    (Utah State University)

  • Dan A. Ralescu

    (University of Cincinnati)

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.

Suggested Citation

  • Rong Gao & Yan Sun & Dan A. Ralescu, 2017. "Order statistics of uncertain random variables with application to k-out-of-n system," Fuzzy Optimization and Decision Making, Springer, vol. 16(2), pages 159-181, June.
    • Handle: RePEc:spr:fuzodm:v:16:y:2017:i:2:d:10.1007_s10700-016-9245-9
    DOI: 10.1007/s10700-016-9245-9
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    References listed on IDEAS

    as
    1. Gao, Rong, 2016. "Milne method for solving uncertain differential equations," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 774-785.
    2. Meilin Wen & Rui Kang, 2016. "Reliability analysis in uncertain random system," Fuzzy Optimization and Decision Making, Springer, vol. 15(4), pages 491-506, December.
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    Cited by:

    1. Gao, Rong, 2019. "Stability in mean for uncertain differential equation with jumps," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 15-22.

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