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Bayes Estimators of the Three-parameter Weibull Distribution Based on Type I Censoring Sample

Author: LiYingHong
Tutor: WangLiChun
School: Beijing Jiaotong University
Course: Probability Theory and Mathematical Statistics
Keywords: Censored time Weibull distribution Bayes estimation
CLC: O212.8
Type: Master's thesis
Year: 2010
Downloads: 93
Quote: 1
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Abstract


Three-parameter Weibull distribution is the most widely used model in the reliability field , for a long time , it parameter estimation problems in a variety of situations of concern , this article focuses Bayes parameter I Censoring the three-parameter Weibull distribution estimated problems. The first chapter briefly describes the history of the development of the Weibull distribution and Basic Research . I Censoring Bayes estimation of the three - parameter Weibull distribution parameters is given in Chapter II , promotion and special values ??, and replace the censored time situation . Chapter III the Bayes estimates derived ; Chapter data simulation study , first of all , through the comparison of the estimated value and the true value of the test the feasibility of the estimated its reliability indicators ; Second , in a brief discussion of the distribution function of the maximum likelihood estimation by data simulation of two estimates in a variety of situations , the deviation and the mean square error (MSE) comparison study came to the conclusion in the prior distribution select reasonable case , Bayes estimated excellent at the maximum likelihood estimates conclusions .

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