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Dependent masking and system life data analysis: Bayesian inference for two-component systems

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Abstract

Data from field operations of a system is often used to estimate the reliability of components. Under ideal circumstances, this system field data contains the time to failure along with information on the exact component responsible for the system failure. However, in many cases, the exact component causing the failure of the system cannot be identified, and is considered to be masked. Previously developed models for estimation of component reliability from masked system life data have been based upon the assumption that masking occurs independently of the true cause of system failure. In this paper we develop a Bayesian methodology for estimating component reliabilities from masked system life data when the probability of masking is dependent upon the true cause of system failure. The Bayesian approach is illustrated for the case of a two-component system of exponentially distributed components.

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References

  • R. E. Barlow and F. Proschan, }it Statistical Theory of Reliability and Life Testing: Probability Models, To Begin With: Silver Spring, MD, 1981.

  • A. P. Basu and J. Klein, “Some recent results in competing risks theory,”Survival Analysis, J. Crowley and R. A. Johnson (eds.), Institute of Mathematical Statistics: Hayward, CA, 1982.

    Google Scholar 

  • G. E. Dinse, “Nonparametric estimations for partially-incomplete times and types of failure data,”Biometrics, vol. 38 pp. 417–431, 1982.

    Google Scholar 

  • G. E. Dinse, “Nonparametric prevalence and mortality estimations for animal experiments with incomplete cause-of-death data,”Journal of the American Statistical Association, vol. 81 pp. 328–336, 1986.

    Google Scholar 

  • N. Doganaksoy, “Interval estimation from censored and masked failure data,”IEEE Transaction on Reliability, vol. 40 pp. 280–285, 1991.

    Google Scholar 

  • A. J. Gross, “Minimization of misclassification of component failure in a two-component system,”IEEE Transactions on Reliability, vol. 19 pp. 120–122, 1970.

    Google Scholar 

  • B. Reiser, I. Guttman, D. K. J. Lin, J. S. Usher, and F. M. Guess, “Bayesian inference for masked system life time data,”Applied Statistics, vol. 44, pp. 79–90, 1995.

    Google Scholar 

  • F. M. Guess, J. S. Usher, and T. J. Hodgson, “Estimating system and component reliabilities under partial information on the cause of failure,”Journal of Statistical Planning and Inference, vol. 29 pp. 75–85, 1991.

    Google Scholar 

  • D. K. J. Lin, and F. M. Guess, “System life data analysis with dependent partial knowledge on the exact cause of system failure,”Microelectronics and Reliability, vol. 34 pp. 535–544, 1994.

    Google Scholar 

  • M. Miyakawa, “Analysis of incomplete data in a competing risks model,”IEEE Transactions on Reliability, vol. 33 pp. 293–296, 1984.

    Google Scholar 

  • J. S. Usher, and T. J. Hodgson, “Maximum likelihood analysis of component reliability using masked system life data,”IEEE Transactions on Reliability, vol. 37 pp. 550–555, 1988.

    Google Scholar 

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Guttman, I., Lin, D.K.J., Reiser, B. et al. Dependent masking and system life data analysis: Bayesian inference for two-component systems. Lifetime Data Anal 1, 87–100 (1995). https://doi.org/10.1007/BF00985260

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  • DOI: https://doi.org/10.1007/BF00985260

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