Exponentiated Marshall-Olkin family of distributions, By Morad Alizadeh

Research

Title	Exponentiated Marshall-Olkin family of distributions
Type	Article
Keywords	Generalized exponential geometric distribution, Generated family, Maximum likelihood, Moment
Journal	Journal of Statistical Distributions and Applications
DOI	10.1186/s40488-016-0051-2
Researchers	Cícero R. B. Dias (First researcher) , Gauss Cordeiro (Second researcher) , Morad Alizadeh (Third researcher) , Pedro Rafael (Fourth researcher) , Hemílio Fernandes Campos Coêlho (Fifth researcher)

Abstract

We study general mathematical properties of a new class of continuous distributions with three extra shape parameters called the exponentiated Marshal-Olkin family of distributions. Further, we present some special models of the new class and investigate the shapes and derive explicit expressions for the ordinary and incomplete moments, quantile and generating functions and probability weighted moments. We discuss the estimation of the model parameters by maximum likelihood and show empirically the potentiality of the family by means of two applications to real data