Date of Award
2011-01-01
Degree Name
Master of Science
Department
Mathematical Sciences
Advisor(s)
Panagis Moschopoulos
Abstract
We present the Generalized Gamma Distribution, study its properties and derive the estimators of the parameters. This distribution includes many standard forms, like: Gamma, Exponential, Weibull, Half Normal and others. Sum and ratios of independent generalized gamma lead to intractable forms. However approximation works well. In particular two-moment gamma and three moment normal approximations are shown to approximate the sum of k independent gamma as well as generalized gamma distributions.
Language
en
Provenance
Received from ProQuest
Copyright Date
2011
File Size
93 pages
File Format
application/pdf
Rights Holder
Victor Hugo Jiménez Nava
Recommended Citation
Jiménez Nava, Victor Hugo, "Gamma and Generalized Gamma Distributions" (2011). Open Access Theses & Dissertations. 2321.
https://scholarworks.utep.edu/open_etd/2321