Abstract
Neste artigo, é definida e estudada uma distribuição com cinco parâmetros denominada beta Fréchet transmutada, além de serem apresentadas algumas das principais propriedades desse modelo. Em particular, são encontradas expressões para os momentos e para a função geradora de momentos. O método da máxima verossimilhança é empregado para estimar os parâmetros da distribuição. Um conjunto de dados é utilizado no ajuste da distribuição beta Fréchet transmutada e os resultados obtidos indicaram que o modelo pode oferecer um ajuste melhor que o de distribuições já consolidadas na análise de dados de sobrevivência.
Palavras-chave: Comparação de Modelos. Distribuição Fréchet. Método da Máxima Verossimilhança.
ABSTRACT
The beta transmuted Fréchet distribution: properties and application
In this article, is defined and studied a distribution with five parameters called beta Fréchet transmuted. Some of the main properties of this model are presented. In particular, expressions for the moments and moment generating function are deduced. The method of maximum likelihood is used to estimate the parameters of the distribution. A survival data set was used in the fit of distribution and the results indicated that the beta transmuted Fréchet model can offer a better fit than already consolidated distributions.
Keywords: Comparison of Models. Fréchet Distribution. Maximum Likelihood Method.
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