The Dagum-Weibull and Related Weighted Distributions

<p>In this thesis, a new class of distributions called the Dagum-Weibull family of distributions is constructed via the \Transform-Transformer" principle. This class of distributions turns out to be a weighted distribution with weights obtained via hazard functions. The class of Dagum-Weibull distributions contains several submodels such as length-biased Dagum-Weibull (LBDW), proportional hazard moment DagumWeibull (PHMDW), Dagum-Weibull (DW), and Dagum distributions as special cases. Some fundamental results on the weighted, parent Dagum-Weibull and related distributions are presented. Probability weighted moments and the resulting weighted distributions are constructed and studied. Inequality measures, entropy, and Fisher information are derived. Estimates of model parameters are obtained and some applications as well as numerical examples are given.</p>

Name thesis:degree_name

Master of Science in Mathematics (M.S.)

Level thesis:degree_level

Thesis (restricted to Georgia Southern)

Discipline thesis:degree_discipline

Department of Mathematical Sciences

Year dc:date.available

2013

Author dc:creator

• Kimitei, Benson

Contributors dc:contributor

• Charles Champ
• Hani Samawi

• ETD
• Weighted Distribution
• Dagum-Weibull Distribution
• Related Distributions
• Applied Statistics
• Probability
• Statistics and Probability

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/845

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-1848