Exponentiated Marshall-Olkin family of distributions

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 fo...

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Bibliographic Details
Published in:	Journal of Statistical Distributions and Applications Vol. 3; no. 1; p. 1
Main Authors:	B. Dias, Cícero R., Cordeiro, Gauss M., Alizadeh, Morad, Diniz Marinho, Pedro Rafael, Campos Coêlho, Hemílio Fernandes
Format:	Journal Article Book Review
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 05-11-2016 Springer Nature B.V
Subjects:	Humanities and Social Sciences Mathematics and Statistics multidisciplinary Review Science Statistical Theory and Methods Statistics Statistics and Computing/Statistics Programs Generalized exponential geometric distribution Maximum likelihood Moment Generated family
Online Access:	Get full text
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Summary:	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.
ISSN:	2195-5832 2195-5832
DOI:	10.1186/s40488-016-0051-2