Term of Award

Summer 2020

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (restricted to Georgia Southern)

Copyright Statement / License for Reuse

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


Department of Mathematical Sciences

Committee Chair

Dr. Broderick Oluyede

Committee Member 1

Dr. Charles Champ

Committee Member 2

Dr. Divine Wanduku


Two new distributions called Lindley-Log-Logistic (LLLoG) and Kumaraswamy Lindley Log-logistic (KLLLoG) distributions are proposed and studied. Some structural properties of the new distributions including moments, conditional moments, mean and median deviations, Bonferroni and Lorenz curves, distribution of the order statistics and Renyi entropy ´ are derived. Maximum likelihood estimation technique is used to estimate the parameters of the models. A simulation studies to examine the bias and mean square error of the maximum likelihood estimators are presented and applications of the distributions to real data sets to illustrate the usefulness of the models are given.

Research Data and Supplementary Material


Available for download on Sunday, June 22, 2025