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On the number of failed components in a coherent operating system

Listed author(s):
  • Asadi, Majid
  • Berred, Alexandre
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    In this paper, we investigate the number of failed components in a coherent system. We consider an (n−m+1)-out-of-n system and we compute the probability that there are exactly i failures, i=0,…,m−1, in the system under the condition that it is operating at time t. Several properties of the proposed time dependent probabilities are studied. The results are then extended to coherent systems consisting of n components with an arbitrary signature vector.

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    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 82 (2012)
    Issue (Month): 12 ()
    Pages: 2156-2163

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    Handle: RePEc:eee:stapro:v:82:y:2012:i:12:p:2156-2163
    DOI: 10.1016/j.spl.2012.07.010
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    1. Mahdi Tavangar & Majid Asadi, 2010. "A study on the mean past lifetime of the components of (n − k + 1)-out-of-n system at the system level," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 72(1), pages 59-73, July.
    2. Navarro, Jorge & Ruiz, Jose M. & Sandoval, Carlos J., 2005. "A note on comparisons among coherent systems with dependent components using signatures," Statistics & Probability Letters, Elsevier, vol. 72(2), pages 179-185, April.
    3. Navarro, Jorge & Spizzichino, Fabio & Balakrishnan, N., 2010. "Applications of average and projected systems to the study of coherent systems," Journal of Multivariate Analysis, Elsevier, vol. 101(6), pages 1471-1482, July.
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