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On the Relation of Various Reliability Measures to Each Other and to Game Theoretic Values

Author

Listed:
  • Richard Engelbrecht-Wiggans
  • David R. Strip

    (Sandia Laboratories, Albuquerque, NM)

Abstract

A variety of measures have recently been proposed for measuring the relative importance of individual components in the overall reliability of a system. Several of these seemingly different measures are very closely related under the conditions typically assumed in the reliability literature. The measures are also closely related to the probabilistic values of game theory; although the game theoretic literature predates the reliability literature by up to two decades, the similarities have apparently not been previously observed or exploited.

Suggested Citation

  • Richard Engelbrecht-Wiggans & David R. Strip, 1979. "On the Relation of Various Reliability Measures to Each Other and to Game Theoretic Values," Cowles Foundation Discussion Papers 530, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:530
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d05/d0530.pdf
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    References listed on IDEAS

    as
    1. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
    2. Robert J. Weber, 1979. "Subjectivity in the Valuation of Games," Cowles Foundation Discussion Papers 515, Cowles Foundation for Research in Economics, Yale University.
    3. Barlow, Richard E. & Proschan, Frank, 1975. "Importance of system components and fault tree events," Stochastic Processes and their Applications, Elsevier, vol. 3(2), pages 153-173, April.
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