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The Marshall–Olkin Transmuted-G Family of Distributions

The Marshall–Olkin Transmuted-G Family of Distributions AbstractWe introduce a new family of univariate continuous distributions called the Marshall–Olkin transmuted-G family which extends the transmuted-G family pioneered by Shaw and Buckley (2007).Special models for the new family are provided.Some of its mathematical properties including quantile measure, explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, order statistics and probability weighted moments are derived.The estimation of the model parameters is performed by maximum likelihood.The flexibility of the proposed family is illustrated by means of two applications to real data sets. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Economic Quality Control de Gruyter

The Marshall–Olkin Transmuted-G Family of Distributions

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Publisher
de Gruyter
Copyright
© 2020 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6147
eISSN
2367-2404
DOI
10.1515/eqc-2020-0009
Publisher site
See Article on Publisher Site

Abstract

AbstractWe introduce a new family of univariate continuous distributions called the Marshall–Olkin transmuted-G family which extends the transmuted-G family pioneered by Shaw and Buckley (2007).Special models for the new family are provided.Some of its mathematical properties including quantile measure, explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, order statistics and probability weighted moments are derived.The estimation of the model parameters is performed by maximum likelihood.The flexibility of the proposed family is illustrated by means of two applications to real data sets.

Journal

Economic Quality Controlde Gruyter

Published: Dec 1, 2020

References