Open AccessOn Generalized Gamma Distribution and Its Application to Survival Data
Author(s) -
J Kiche,
Oscar Ngesa,
George Otieno Orwa
Publication year - 2019
Publication title -
international journal of statistics and probability
Language(s) - English
Resource type - Journals
eISSN - 1927-7040
pISSN - 1927-7032
DOI - 10.5539/ijsp.v8n5p85
Subject(s) - generalized gamma distribution , generalized integer gamma distribution , gamma distribution , generalized beta distribution , weibull distribution , mathematics , inverse gamma distribution , distribution fitting , exponential distribution , parametric statistics , log cauchy distribution , generalization , log logistic distribution , distribution (mathematics) , exponential family , natural exponential family , inverse distribution , statistics , heavy tailed distribution , inverse chi squared distribution , probability distribution , mathematical analysis
The generalized gamma distribution is a continuous probability distribution with three parameters. It is a generalization of the two-parameter gamma distribution. Since many distributions commonly used for parametric models in survival analysis (such as the Exponential distribution , the Weibull distribution and the Gamma distribution) are special cases of the generalized gamma, it is sometimes used to determine which parametric model is appropriate for a given set of data. Generalized gamma distribution is one of the distributions used in frailty modeling. In this study , it is shown that generalized gamma distribution has three sub-families and its application to the analysis of a survival data has also been explored. The parametric modeling approach has been carried out to find the expected results.