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Theory and counterexamples for confidence limits on system reliability

Author

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  • Harris, Bernard
  • Soms, Andrew P.

Abstract

The general theory of optimal confidence limits for system reliability based on results of Buehler (1957) and Sudakov and references cited there (1974) is developed. Counterexamples to some results of Sudakov (1974), Winterbottom (1974) and Harris and Soms (1980, 1981) are exhibited. Numerical examples are given for two component series systems which show that the results hold for confidence levels used in practice.

Suggested Citation

  • Harris, Bernard & Soms, Andrew P., 1991. "Theory and counterexamples for confidence limits on system reliability," Statistics & Probability Letters, Elsevier, vol. 11(5), pages 411-417, May.
  • Handle: RePEc:eee:stapro:v:11:y:1991:i:5:p:411-417
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    Cited by:

    1. Lloyd, Chris J., 2005. "Monotonicity of likelihood support bounds for system failure rates," Statistics & Probability Letters, Elsevier, vol. 73(2), pages 91-97, June.
    2. Kabaila, Paul, 2001. "Better Buehler confidence limits," Statistics & Probability Letters, Elsevier, vol. 52(2), pages 145-154, April.
    3. Kabaila, Paul & Lloyd, Chris J., 2003. "The efficiency of Buehler confidence limits," Statistics & Probability Letters, Elsevier, vol. 65(1), pages 21-28, October.

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