Term of Award
Fall 2011
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (restricted to Georgia Southern)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Broderick O. Oluyede
Committee Member 1
Charles Champ
Committee Member 2
Hani Samawi
Committee Member 3
n/a
Abstract
A new class of weighted generalized gamma distribution and related distributions are presented. Theoretical properties of the generalized gamma model, weighted generalized gamma distribution including the hazard function, reverse hazard function, moments, coefficient of variation, coefficient of skewness, coefficient of kurtosis, Fisher information and entropy measures are derived. Estimation of the parameters of the weighted generalized gamma distribution via maximum likelihood estimation and method of moment estimation techniques are presented, as well as a test for the detection of length-biasedness in the generalized gamma model. Also presented are some useful transformations of the weighted generalized gamma distributed random variable.
Recommended Citation
Priyadarshani, Hewa Anuradha, "Statistical Properties of Weighted Generalized Gamma Distribution" (2011). Electronic Theses and Dissertations. 672.
https://digitalcommons.georgiasouthern.edu/etd/672
Research Data and Supplementary Material
No
