Term of Award
Fall 2013
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
Arpita Chatterjee
Abstract
In this thesis, a generalized modified Weibull distribution called the exponentiated modified Weibull Poisson (EMWP) distribution as well as related sub-distributions are proposed. Series expansion of the densities are obtained. Statistical properties of these classes of distributions, including hazard function, reverse hazard function, moments, quantile function, entropy and distribution of order statistics are derived. Method of maximum likelihood is used to estimate the parameters of the new distribution. Finally, a real data example is discussed to illustrate the usefulness and applicability of the distribution.
OCLC Number
1034805928
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1fi10pa/alma9916359193702950
Recommended Citation
Towa, Toussaint, "Generalized Modified Weibull Poisson Distribution with Applications to Lifetime Data" (2013). Electronic Theses and Dissertations. 1175.
https://digitalcommons.georgiasouthern.edu/etd/1175
Research Data and Supplementary Material
No
