Statistical Properties of Weighted Generalized Gamma Distribution

<p>A new class of weighted generalized gamma distribution and related distributions are presented. Theoretical properties of the generalized gamma model, weighted generalized gamma distribution including the hazard function, reverse hazard function, moments, coefficient of variation, coefficient of skewness, coefficient of kurtosis, Fisher information and entropy measures are derived. Estimation of the parameters of the weighted generalized gamma distribution via maximum likelihood estimation and method of moment estimation techniques are presented, as well as a test for the detection of length-biasedness in the generalized gamma model. Also presented are some useful transformations of the weighted generalized gamma distributed random variable.</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

2011

Author dc:creator

• Priyadarshani, Hewa Anuradha

Contributors dc:contributor

• Charles Champ
• Hani Samawi
• n/a

• ETD
• Weighted distribution
• Weighted generalized gamma distribution
• Generalized gamma distribution
• Mathematics

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/672

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-1672