Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

5-2014

Committee Chair or Co-Chairs

Yali Liu

Committee Members

Edith Seier, Nicole Lewis

Abstract

The log-normal distribution is a popular model in many areas, especially in biostatistics and survival analysis where the data tend to be right skewed. In our research, a total of ten different estimators of log-normal means are compared theoretically. Simulations are done using different values of parameters and sample size. As a result of comparison, ``A degree of freedom adjusted" maximum likelihood estimator and Bayesian estimator under quadratic loss are the best when using the mean square error (MSE) as a criterion. The ten estimators are applied to a real dataset, an environmental study from Naval Construction Battalion Center (NCBC), Super Fund Site in Rhode Island.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

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