Inverse Gamma-G Family of Distributions

Chinipardaz, Rahim; Ghorbanpour, Samere

doi:10.22055/jamm.2026.51612.2459

Inverse Gamma-G Family of Distributions

Articles in Press

Document Type : Original Paper

Authors

Rahim Chinipardaz ¹

Samere Ghorbanpour ²

¹ Department of statistics, Shahid Chamran university of Ahvaz

² Shahid Chamran university of Ahvaz

10.22055/jamm.2026.51612.2459

Abstract

Abstract
In this paper, a new general family of continuous distributions, inverse gamma-G family of distributions,
is introduced. Some properties of the new family of distributions are derived. The parameters are estimated
by maximum likelihood method and the information matrix is obtained. A member of the family, the in-
verse gamma-weibull distribution is dened and studied. Some properties of this distribution such as hazard
function, quantile function, Shannon entropy, moments, the distribution of the order statistics, maximum
likelihood estimation and the observed information matrix are studied. Also, a application based on real
data set is presented to illustrate the proposed distribution.

Keywords

Keyword: Generalized inverse weibull distribution

Inverse generalized gamma distribution

Inverse gamma distribution

Inverse weibull distribution

Maximum likelihood estimation

Subjects