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The Bayesian Estimation of Weibull Distribution Parameter and Reliability

Author: QiuYan
Tutor: WeiChengDong
School: Guangxi Normal University
Course: Applied Mathematics
Keywords: Bayes estimation E-Bayes estimation Weibull distribution Rayleigh distribution Reliability Functions
CLC: O212.8
Type: Master's thesis
Year: 2011
Downloads: 127
Quote: 2
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Abstract


In this paper, based on the Bayes , the main research Weibull scale parameter inverse Bayes estimation , E-Bayes estimation and its application to study a special distribution Weibull distribution - Rayleigh distribution inverse scale parameter estimates and E-Bayes Bayes estimated by numerical simulations to verify studied in this paper estimates and E-Bayes Bayes estimation method is reasonable and excellent resistance .1 main research in the composite LINEX symmetric loss function , using the conjugate distribution scale parameter Weibull distribution discussed countdown Bayes Estimation of θ , hierarchical Bayes estimates and E-Bayes estimates and prove Bayes estimation of this parameter is admissible . Finally, on Bayes estimates and E-Bayes estimate numerical simulations and compared between the two the superiority of .2 in entropy loss function , the study of a special distribution Weibull distribution - Rayleigh distribution inverse scale parameter θ of Bayes estimation , hierarchical Bayes estimates and E-Bayes estimates , citing specific numerical examples its application, through numerical analysis on the Bayes estimates and E-Bayes estimation, comparison of the two excellent .3 in q- symmetric Entropy Loss Function , researchers Weibull reliability R of Bayes and maximum likelihood estimation estimates citing specific examples of its application, through numerical analysis to verify the Bayes estimates and maximum likelihood estimation of rationality and Goodness.

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CLC: > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Mathematical Statistics > Bayesian statistics
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