Review on Some G-Family Distributions

Abstract

In this thesis we study the properties of some G-family of distributions, such as, Kumaraswamy-G family, Zografos-Balakrishnan-G family and Ristic-Balakrishnan-G family for any continuous baseline G distribution. Here, we provide a thorough study of general mathematical properties of these family of distributions. We are trying to find out some new distributions by making use of the families demonstrated. We discuss the properties of Zografos-Balakrishnan-generalized exponential distribution, such as, probability density function (pdf), cumulative distribution function (cdf), hazard rate function, moments, quantile function, entropy and estimation of the parameters by maximum likelihood method.