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 - unrestricted
Recommended Citation
Tang, Qi, "Comparison of Different Methods for Estimating Log-normal Means" (2014). Electronic Theses and Dissertations. Paper 2338. https://dc.etsu.edu/etd/2338
Copyright
Copyright by the authors.