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Analysis of a Simple Debugging Model

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  • Adrian E. Raftery

Abstract

A system has an unknown number of faults. Each fault causes a failure of the system, and is then located and removed. The failure times are independent exponential random variables with common mean. A Bayesian analysis of this model is presented, with emphasis on the situation where vague prior knowledge is represented by limiting, improper, prior forms. This provides a test for reliability growth, estimates of the number of faults, an evaluation of current system reliability, a prediction of the time to full debugging, and a model checking procedure. Three examples are given.

Suggested Citation

  • Adrian E. Raftery, 1988. "Analysis of a Simple Debugging Model," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 37(1), pages 12-22, March.
    • Handle: RePEc:bla:jorssc:v:37:y:1988:i:1:p:12-22
    DOI: 10.2307/2347490
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    Cited by:

    1. Chang Xu & Dongchu Sun & Chong He, 2014. "Objective Bayesian analysis for a capture–recapture model," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 66(2), pages 245-278, April.
    2. Ron Brookmeyer & Xiaojun You, 2006. "A Hypothesis Test for the End of a Common Source Outbreak," Biometrics, The International Biometric Society, vol. 62(1), pages 61-65, March.
    3. Gaver, Donald P. & Jacobs, Patricia A., 2014. "Reliability growth by failure mode removal," Reliability Engineering and System Safety, Elsevier, vol. 130(C), pages 27-32.

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