Synthesized expected Bayesian method of parametric estimate

Ming Han; Yuanyao Ding

doi:10.1007/s11518-006-0156-0

Journal of Systems Science and Systems Engineering ›› 2004, Vol. 13 ›› Issue (1) : 98 -111. DOI: 10.1007/s11518-006-0156-0

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Synthesized expected Bayesian method of parametric estimate

Ming Han ¹^,²^,³
, Yuanyao Ding ¹^,²^,³

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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.

Keywords

Reliability / zero-failure data / expected Bayesian estimate / synthesized expected Bayesian estimate

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Ming Han, Yuanyao Ding. Synthesized expected Bayesian method of parametric estimate. Journal of Systems Science and Systems Engineering, 2004, 13(1): 98-111 DOI:10.1007/s11518-006-0156-0

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