Title of article :
EXTENDED GENERALIZED GAMMA DISTRIBUTION
Author/Authors :
Lehcenc, Bachioua Bejaia University - College of Science - Department of Mathematics, Algeria , Hussain, Shawki Shaker University of Baghdad - College of Science - Department of Mathematics, Iraq
Abstract :
New 6-parameters extended form of the Kobayashi s generalized gamma function is defined, several of its properties and recurrence formulas are derived. Based on this new function we introduce a new 6-parameters with a model function extended generalized gamma distribution. Many new distributions are shown to be particular cases of this suggested distribution, including some familiar known distributions. In terms of the model function statistical properties; reliability and hazard functions, and estimation of some parameters of the distribution are studied. Also, the form of the distribution is considered under various forms of the model function. We believe that this new distribution model is reasonable for accommodate multi various applications, since it have wide variety of shapes. Especially, for the life distribution of a component where the presence of the displacement and intensity parameters is vitally important.
Keywords :
Generalized gamma function , generalized gamma distribution , Displacement and intensity parameters , Moments and maximum likelihood methods , Reliability and hazard functions.
Journal title :
Iraqi Journal Of Science
Journal title :
Iraqi Journal Of Science