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Frank Gomes-Silva ; Leandro Chaves Rêgo ; Wilson Rosa de Oliveira ;Acta Scientiarum. Technology 2017, 39 1

Author: Cícero Carlos Brito

Source: http://www.redalyc.org/articulo.oa?id=303249921011


Acta Scientiarum.
Technology ISSN: 1806-2563 eduem@uem.br Universidade Estadual de Maringá Brasil Brito, Cícero Carlos; Gomes-Silva, Frank; Chaves Rêgo, Leandro; Rosa de Oliveira, Wilson A new class of gamma distribution Acta Scientiarum.
Technology, vol.
39, núm.
1, enero-marzo, 2017, pp.
79-87 Universidade Estadual de Maringá Maringá, Brasil Available in: http:--www.redalyc.org-articulo.oa?id=303249921011 How to cite Complete issue More information about this article Journals homepage in redalyc.org Scientific Information System Network of Scientific Journals from Latin America, the Caribbean, Spain and Portugal Non-profit academic project, developed under the open access initiative Acta Scientiarum http:--www.uem.br-acta ISSN printed: 1806-2563 ISSN on-line: 1807-8664 Doi: 10.4025-actascitechnol.v39i1.29890 A new class of gamma distribution Cícero Carlos Brito1, Frank Gomes-Silva1*, Leandro Chaves Rêgo2 and Wilson Rosa de Oliveira1 1 Departamento de Estatística e Informática, Universidade Federal Rural de Pernambuco, Rua Dom Manoel de Medeiros, s-n, 52171-900, Campus Dois Irmãos, Recife, Pernambuco, Brazil.
2Departamento de Estatística e Matemática Aplicada, Universidade Federal do Ceará, Ceará, Brazil. *Author for correspondence.
E-mail: franksinatrags@gmail.com ABSTRACT.
This paper presents a new class of probability distributions generated from the gamma distribution.
For the new class proposed, we present several statistical properties, such as the risk function, expansions to density and cumulative function, moment generating function, characteristic function, the moments of order , central moments of order , the log likelihood and its partial derivatives and also Rényi entropy, kurtosis, skewness and variance.
Some of these properties are indicated for a particular distribution within this new class that is used to illustrate the capability of the proposed new class through an application to a real data set.
The data set presented ...

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