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Fuzzy Bayesian Statistical Inference Of Censored Data

Posted on:2011-06-17Degree:MasterType:Thesis
Country:ChinaCandidate:H Y SunFull Text:PDF
GTID:2120360305990604Subject:Operational Research and Cybernetics
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Censored data,fuzzy statistics and Bayes analysis of problems are the several major academic research focus of the statistics, which attracted the attention of some scholars who are come from home and abroad. But the study methods of censored data combined with fuzzy theory is rarely seen. In this paper, we discuss fuzzy Bayes inference of censored data and the mainly work as follows:1. We introduced the research and development of the censored data, fuzzy Bayesian statistical analysis.2. We discussed the Bayes estimation for the parameter of the weibull distribution using linex asymmetric loss function under the grouped data,progressively censored grouped data and multi-censored data.3. We studied the Bayes method of multiple fuzzy assumptive test of exponential distribution parameter under square less function and linex less function in the condition that the present sample and the past samples are randomly censored from the right by another variable with an unknown distribution.4. We construct an empirical Bayes estimation for the subordinate function of parameter of the pareto distribution using linex asymmetric loss function under the condition that the present sample and the past samples are randomly censored from the right by another variable with an unknown distribution and obtain its admissibility and asymptotical optimality.In summary, we got the statistical methods of censored data in fuzzy sense, which will have a great practical significance in life and production!...
Keywords/Search Tags:Censored data, Random censorship, Bayes test, Fuzzy assumption, Empirical Bayes Estimation
PDF Full Text Request
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