Term of Award
Fall 2013
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
Hani Samawi
Abstract
In this thesis, tail conditional expectation (TCE) in risk analysis, an important measure for right-tail risk, is presented. This value is generally based on the quantile of the loss distribution. Explicit formulas of several tail conditional expectations and inequality measures for Dagum-type models are derived. In addition, a new class of weighted Burr-III (WBIII) distribution is presented. The statistical properties of this distribution including hazard and reverse hazard functions, moments, coefficient of variation, skewness, and kurtosis, inequality measures, entropy are derived. Also, Fisher information and maximum likelihood estimates of the model parameters are obtained.
OCLC Number
1182807694
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1r4bu70/alma9916437350102950
Recommended Citation
AL Buqami, Meznah R., "Income Inequality Measures and Statistical Properties of Weighted Burr-type and Related Distributions" (2013). Electronic Theses and Dissertations. 880.
https://digitalcommons.georgiasouthern.edu/etd/880
