Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
5-2006
Committee Chair or Co-Chairs
Robert M. Price Jr.
Committee Members
Yali Liu, Robert B. Gardner, Edith Seier
Abstract
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.
Document Type
Thesis - unrestricted
Recommended Citation
Guo, Changbin, "Bayesian Reference Inference on the Ratio of Poisson Rates." (2006). Electronic Theses and Dissertations. Paper 2194. https://dc.etsu.edu/etd/2194
Copyright
Copyright by the authors.