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The Exponentiated Generalized-G Poisson Family of Distributions

The Exponentiated Generalized-G Poisson Family of Distributions AbstractIn this article we propose and study a new family of distributions which is defined by using the genesis of the truncatedPoisson distribution and the exponentiated generalized-G distribution. Somemathematical properties of the new family including ordinary and incompletemoments, quantile and generating functions, mean deviations, orderstatistics and their moments, reliability and Shannon entropy are derived.Estimation of the parameters using the method of maximum likelihood is discussed.Although this generalization technique can be used to generalize many other distributions, in this study wepresent only two special models. The importance and flexibility of the newfamily is exemplified using real world data. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Economic Quality Control de Gruyter

The Exponentiated Generalized-G Poisson Family of Distributions

Economic Quality Control , Volume 32 (1): 17 – Jun 1, 2017

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Publisher
de Gruyter
Copyright
© 2017 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6147
eISSN
2367-2404
DOI
10.1515/eqc-2017-0004
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this article we propose and study a new family of distributions which is defined by using the genesis of the truncatedPoisson distribution and the exponentiated generalized-G distribution. Somemathematical properties of the new family including ordinary and incompletemoments, quantile and generating functions, mean deviations, orderstatistics and their moments, reliability and Shannon entropy are derived.Estimation of the parameters using the method of maximum likelihood is discussed.Although this generalization technique can be used to generalize many other distributions, in this study wepresent only two special models. The importance and flexibility of the newfamily is exemplified using real world data.

Journal

Economic Quality Controlde Gruyter

Published: Jun 1, 2017

References