Income Inequality Measures and Statistical Properties of Weighted Burr-type and Related Distributions

<p>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.</p>

Name thesis:degree_name

Master of Science in Mathematics (M.S.)

Level thesis:degree_level

Thesis (open access)

Discipline thesis:degree_discipline

Department of Mathematical Sciences

Year dc:date.available

2013

Author dc:creator

• AL Buqami, Meznah R

Contributors dc:contributor

• Charles Champ
• Hani Samawi

• ETD
• income inequality
• tail conditional expectation
• weighted BurrIII distribution
• risk measure
• average loss
• Physical Sciences and Mathematics
• Statistical Methodology
• Statistical Models
• Statistics and Probability
• Survival Analysis

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/880

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-1900