Exponentiated Marshall-Olkin family of distributions

Cícero R. B. Dias (), Gauss M. Cordeiro (), Morad Alizadeh (), Pedro Rafael Diniz Marinho () and Hemílio Fernandes Campos Coêlho ()
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Cícero R. B. Dias: Federal University of Pernambuco
Gauss M. Cordeiro: Federal University of Pernambuco
Morad Alizadeh: Persian Gulf University
Pedro Rafael Diniz Marinho: Federal University of Pernambuco
Hemílio Fernandes Campos Coêlho: Federal Univeristy of Paraíba

Journal of Statistical Distributions and Applications, 2016, vol. 3, issue 1, 1-21

Abstract: 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.

Keywords: Generalized exponential geometric distribution; Generated family; Maximum likelihood; Moment (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1186/s40488-016-0051-2

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