Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (2): 577-583.

• Articles • Previous Articles    

E-Bayesian Estimation of Failure Probability in the Case of Data Only One Failure

 HAN Ming   

  1. Department of Mathematics &|Physics, Fujian University |of Technology, Fuzhou 350108
  • Received:2008-10-21 Revised:2010-02-28 Online:2011-04-25 Published:2011-04-25
  • Supported by:

    福建省自然科学基金(2009J01001)资助

Abstract:

This paper introduces a new parameter estimation method, named E-Bayesian estimation method, to estimate failure probability. In the case of data only one failure, the definition of E-Bayesian estimation of the failure probability is provided, moreover, the formulas of
E-Bayesian estimation and hierarchical Bayesian estimation, and the properties of E-Bayesian estimation of the failure probability are
also provided. Finally, calculations are performed according practical problem, which shows that the provided method in the paper is practicable and easy to operate.

Key words: Failure probability, Data only one failure, E-Bayesian estimation, Hierarchical Bayesian estimation

CLC Number: 

  • 62F15
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