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Fuzzy Bayesian Statistical Inference of Censored Data

Author: SunHongYang
Tutor: XiaYaFeng
School: Lanzhou University of Technology
Course: Operational Research and Cybernetics
Keywords: Censored Data Randomly censored Bayesian estimation Fuzzy Hypothesis Testing Empirical Bayes estimates
CLC: O212.1
Type: Master's thesis
Year: 2010
Downloads: 78
Quote: 1
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Abstract


Censored data , fuzzy statistics and Bayesian analysis statistics several major academic research hotspot , causing concern of many research scholars at home and abroad and research . Censored statistical methods and fuzzy mathematical theory and to study together but rarely seen . article focuses on the censored data case of fuzzy Bayesian statistical inference problems , the main work is as follows : 1 . censored data , fuzzy Bayesian statistical analysis , research and development is outlined and summarized the censored data type .2 discussed generally given censored data , packet data , of Progressively Censored packet data three cases in the density function for the Weibull distribution , select a different prior distribution , the quadratic loss function and non- symmetric Linex loss function under Bayesian estimation problem .3. Censored data Linex loss function improved exponentially distributed multiple fuzzy membership function of the scale parameter in the accurate sample and fuzzy sample two situations hypothesis testing problem, it calculated that in the case of censored than the test results did not significantly change , and draw the same exact sample and fuzzy sample test results .4 instance select the precise sample and fuzzy sample . using empirical Bayes (EB) method , in the history of the sample and the current sample were another the unknown variable distribution Censored conditions , fuzzy space , improved Linex asymmetric loss function , Bayesian estimation class Pareto distribution family parameters of the membership function and empirical Bayes estimates , given the estimated allowable , and prove its asymptotic optimality . above content obtained fuzzy sense of censored data statistical methods , in life and production will be more practical significance !

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