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 de ned 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.
