Open AccessTHE TRANSMUTED GAMMA-GOMPERTZ DISTRIBUTION
Author(s) -
Rwabi AzZwideen,
Loai M. Al Zou’bi
Publication year - 2020
Publication title -
international journal of research - granthaalayah
Language(s) - English
Resource type - Journals
eISSN - 2394-3629
pISSN - 2350-0530
DOI - 10.29121/granthaalayah.v8.i10.2020.1892
Subject(s) - quantile function , mathematics , gamma distribution , gompertz function , order statistic , generalized gamma distribution , quantile , statistics , inverse gamma distribution , estimation theory , probability distribution , distribution fitting , moment generating function , inverse chi squared distribution
This article introduces a four-parameter probability model which represents a gener- alization of the the Gamma-Gompertz distribution using the quadratic rank trans- mutation map. The proposed model is named the Transmuted Gamma-Gompertz distribution. We provide explicit expressions for its statistical properties, moment generating function, quantile function, the order statistics, the quantile function and the median. We estimate the parameters of the distribution using the maximum likelihood method of estimation.