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Synthesized expected Bayesian method of parametric estimate

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Abstract

This paper develops a new method of parametric estimate, which is named as “synthesized expected Bayesian method”. When samples of products are tested and no failur events occur, the definition of expected Bayesian estimate is introduced and the estimates of failure probability and failure rate are provided. After some failure information is introduced by making an extra-test, a synthesized expected Bayesian method is defined and used to estimate failure probability, failure rate and some other parameters in exponential distribution and Weibull distribution of populations. Finally, calculations are performed according to practical problems, which show that the synthesized expected Bayesian method is feasible and easy to operate.

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References

  1. Berger, J. O., Statistical Decision Theory and Bayesian Analysis, New York: Springer-Verlag, 1985.

    Google Scholar 

  2. Han, M., “The structure of hierarchical prior distribution and its applications”, Chinese Operations Research and Management science, Vol. 6, No. 3, pp31–40, 1997.

    Google Scholar 

  3. Han, M. et al., “The hierarchical Bayesian analysis of zero-failure data of exponential distribution”, Chinese Application of Statistics and Management, Vol. 17, No. 3, pp24–27, 1998.

    Google Scholar 

  4. Han, M., Reliability Analysis of Zero-Failure Data, Beijing: China Statistics Press. 1999.

    Google Scholar 

  5. Han, M., “Estimation of failure rate and its applications in the case of zero-failure data”, Chinese Mathematics and Physics Science, Vol. 20, No. 3, pp364–369, 2000.

    MATH  Google Scholar 

  6. Lindley, D. V. and Smith, A. F. M., “Bayes estimates for the linear model”, Journal of the Royal Statistical Society (Series B). Vol. 34, No. 1, 1972.

  7. Mao, S. S., and C. B. Luo, “Reliability analysis of zero-failure data”, Chinese Mathematical Statistics and Applied Probability, Vol. 4, No. 4, pp489–506, 1989.

    Google Scholar 

  8. Mao, S. S. et al., “The reliability analysis of zero-failure data for bearing life test”, Chinese Applied Probability and Statistics, Vol. 9, No. 3, pp326–331, 1993.

    Google Scholar 

  9. Martz, H. F. and Waller, R. A., “A Bayes zero-failure (BAZE) reliability demonstration testing procedure”, Journal of Quality Technology, Vol. 11, No.3, pp128–137,1979.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang Ocean University, Zhoushan, Zhejiang, 316004, P.R. China

    Ming Han & Yuanyao Ding

  2. Department of Statistics, Renmin University of China, Beijing, 100872, P.R. China

    Ming Han & Yuanyao Ding

  3. Faculty of Business, Ningbo University, Ningbo, Zhejiang, 315211, P.R. China

    Ming Han & Yuanyao Ding

Authors
  1. Ming Han
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  2. Yuanyao Ding
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Additional information

This work was supported partly by the Zhejiang Province National Natural Science Foundation of China under Grant 100026. And this work was supported in part by the Zhejiang Province Education Committee Foundation of China under Grant 20031024.

Ming Han is a professor at Zhejiang Ocean University in Zhoushan city of Zhejing province, a candidate member of Zhejiang province “151 Talent Engineering”. He is a director of Reliability Society Branches of Operations Research Society of China and a member of Academic Committee of Zhejiang Ocean University. His main research areas are in the field of reliability statistics.

Yuanyao Ding is a professor at Ningbo University in Ningbo city of Zhejiang province. His main research areas are reliability statistics and econometrics.

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Han, M., Ding, Y. Synthesized expected Bayesian method of parametric estimate. J. Syst. Sci. Syst. Eng. 13, 98–111 (2004). https://doi.org/10.1007/s11518-006-0156-0

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  • DOI: https://doi.org/10.1007/s11518-006-0156-0

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