Term of Award
Fall 2018
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
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 Oluyede
Committee Member 1
Charles Champ
Committee Member 2
Divine Wanduku
Abstract
Three new generalized distributions developed via completing risk, gamma generator, Marshall-Olkin generator and exponentiation techniques are proposed and studied. Structural properties including quantile functions, hazard rate functions, moment, conditional moments, mean deviations, R\'enyi entropy, distribution of order statistics and maximum likelihood estimates are presented. Monte Carlo simulation is employed to examine the performance of the proposed distributions. Applications of the generalized distributions to real lifetime data are presented to illustrate the usefulness of the models.
OCLC Number
1085541820
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1r4bu70/alma9916218283502950
Recommended Citation
Jimoh, Hameed Abiodun, "Some New and Generalized Distributions Via Exponentiation, Gamma and Marshall-Olkin Generators with Applications" (2018). Electronic Theses and Dissertations. 1852.
https://digitalcommons.georgiasouthern.edu/etd/1852
Research Data and Supplementary Material
No
Included in
Applied Statistics Commons, Other Statistics and Probability Commons, Probability Commons, Statistical Methodology Commons, Statistical Models Commons
