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E-Bayes Estimations And Its Applications Of The Parameters

Posted on:2011-01-18Degree:MasterType:Thesis
Country:ChinaCandidate:S WeiFull Text:PDF
GTID:2120330332957357Subject:Applied Mathematics
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This article basis in the Bayes , mainly studies the E-Bayes estimates and ap-plications of several distribution parameters.And through numerical simulation,prove that the studied E-Bayes estimation in the article is reasonable and goodnature.The second chapter in symmetric entropy loss function, mainly studies anddiscusses the bayes estimation and E-bayes estimation of binomial distributionparameter p by using conjugate prior distribution, and prove that the bayesestimation is admissible.Finaly,it gives the numerical simulation about bayes es-timation and E-bayes estimation ,and comparison of the superiority between thetwo.The third chapter mainly in the composite LINEX loss of symmetry, studiespareto distribution makes use of conjugated obtained prior distribution to cipherout the E-Bayes estimates of the shape parameter in its research-scale parametersof the known cases.And cite specific numerical value examples to explain theirapplications,Besides, through numerical analysis,compare the Bayes estimatesto the E-Bayes estimate of the shape parameters and explain the latter is thebetter.The fourth chapter mainly in the composite LINEX loss of symmetry ,studiesthe bayes estimation and E-bayes estimation of Poisson distribution parameter .And cite specific numerical value examples to explain their applications,besides,through numerical analysis,to verify the feasibility of the Bayes estimates andE-Bayes estimates, Finally comparison of superiority of them.
Keywords/Search Tags:Bayes estimation, E-Bayes estimation, binomial distribution, Pareto distribution, Poisson distribution
PDF Full Text Request
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