Term of Award
Summer 2014
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
Arpita Chatterjee
Abstract
In this thesis, new classes of distributions namely: exponentiated Kumaraswamy-Dagum (EKD), Log-exponentiated Kumaraswamy-Dagum (Log-EKD), McDonald Log-logistic (McLLog) and Gamma-Dagum (GD) distributions are presented. A thorough and comprehensive investigation of these classes of distributions is conducted. Mathematical properties of these classes of distributions including series expansion, hazard and reverse hazard functions, moments, generating functions, mean and median deviations, Bonferroni and Lorenz curves, distribution of order statistics, moments of order statistics and entropies are presented. Estimation of parameters of these distributions via maximum likelihood technique, Fisher information and asymptotic confidence intervals are given. Maximum likelihood estimation of the parameters of the exponentiated Kumaraswamy-Dagum distribution for censored data is constructed. Real data examples are presented to illustrate the usefulness and applicability of these proposed classes of distributions.
OCLC Number
928643383
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1fi10pa/alma9915984089102950
Recommended Citation
Huang, Shujiao, "Generalized Classes of Distributions with Applications to Income and Lifetime Data" (2014). Electronic Theses and Dissertations. 1158.
https://digitalcommons.georgiasouthern.edu/etd/1158
Research Data and Supplementary Material
No
