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Some Bayesian methods in the estimat...
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Wang, Guojun.
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Some Bayesian methods in the estimation of parameters in the measurement error models and crossover trial.
Record Type:
Electronic resources : Monograph/item
Title/Author:
Some Bayesian methods in the estimation of parameters in the measurement error models and crossover trial./
Author:
Wang, Guojun.
Description:
178 p.
Notes:
Source: Dissertation Abstracts International, Volume: 65-02, Section: B, page: 0825.
Contained By:
Dissertation Abstracts International65-02B.
Subject:
Statistics. -
Online resource:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3120858
ISBN:
049668213X
Some Bayesian methods in the estimation of parameters in the measurement error models and crossover trial.
Wang, Guojun.
Some Bayesian methods in the estimation of parameters in the measurement error models and crossover trial.
- 178 p.
Source: Dissertation Abstracts International, Volume: 65-02, Section: B, page: 0825.
Thesis (Ph.D.)--University of Cincinnati, 2004.
In this dissertation, we use Bayesian methods to estimate parameters in measurement error models and in the two-period crossover trial. The reference prior approach is used to estimate parameters in the measurement error models, including simple normal structural models, Berkson models, structural models with replicates, and the hybrid models. Reference priors are derived. Jeffreys prior is obtained as a special case of reference priors. The posterior properties are studied. Simulation-based comparisons are made between the reference prior approach and the maximum likelihood method. A fractional Bayes factor (FBF) approach is used to estimate the treatment effect in the two-period crossover trial. The reference priors and the FBF are derived. The FBF is used to combine the carryover-effect model and the no-carryover-effect model. Markov chain Monte Carlo simulation is used to implement the Bayesian analysis.
ISBN: 049668213XSubjects--Topical Terms:
517247
Statistics.
Some Bayesian methods in the estimation of parameters in the measurement error models and crossover trial.
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Some Bayesian methods in the estimation of parameters in the measurement error models and crossover trial.
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Source: Dissertation Abstracts International, Volume: 65-02, Section: B, page: 0825.
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Chair: Siva Sivaganesan.
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Thesis (Ph.D.)--University of Cincinnati, 2004.
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In this dissertation, we use Bayesian methods to estimate parameters in measurement error models and in the two-period crossover trial. The reference prior approach is used to estimate parameters in the measurement error models, including simple normal structural models, Berkson models, structural models with replicates, and the hybrid models. Reference priors are derived. Jeffreys prior is obtained as a special case of reference priors. The posterior properties are studied. Simulation-based comparisons are made between the reference prior approach and the maximum likelihood method. A fractional Bayes factor (FBF) approach is used to estimate the treatment effect in the two-period crossover trial. The reference priors and the FBF are derived. The FBF is used to combine the carryover-effect model and the no-carryover-effect model. Markov chain Monte Carlo simulation is used to implement the Bayesian analysis.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3120858
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