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Amended Estimators Of Several Ratios For Categorical Data., Dandan Chen
Amended Estimators Of Several Ratios For Categorical Data., Dandan Chen
Electronic Theses and Dissertations
Point estimation of several association parameters in categorical data are presented. Typically, a constant is added to the frequency counts before the association measure is computed. We will study the accuracy of these adjusted point estimators based on frequentist and Bayesian methods respectively. In particular, amended estimators for the ratio of independent Poisson rates, relative risk, odds ratio, and the ratio of marginal binomial proportions will be examined in terms of bias and mean squared error.
Bayesian Reference Inference On The Ratio Of Poisson Rates., Changbin Guo
Bayesian Reference Inference On The Ratio Of Poisson Rates., Changbin Guo
Electronic Theses and Dissertations
Bayesian reference analysis is a method of determining the prior under the Bayesian paradigm. It incorporates as little information as possible from the experiment. Estimation of the ratio of two independent Poisson rates is a common practical problem. In this thesis, the method of reference analysis is applied to derive the posterior distribution of the ratio of two independent Poisson rates, and then to construct point and interval estimates based on the reference posterior. In addition, the Frequentist coverage property of HPD intervals is verified through simulation.