Normal–Poisson distribution as a lifetime distribution of a series system

Ciência E Natura

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ISSN: 2179-460X
Editor Chefe: Marcelo Barcellos da Rosa
Início Publicação: 30/11/1979
Periodicidade: Quadrimestral

Normal–Poisson distribution as a lifetime distribution of a series system

Ano: 2018 | Volume: 40 | Número: 1
Autores: Eisa Mahmoudi, Hamed Mahmoodian e Fatemeh Esfandiari
Autor Correspondente: Eisa Mahmoudi | [email protected]

Palavras-chave: normal distribution,poisson distribution, em-algorithm

Resumos Cadastrados

Resumo Inglês:

In this paper, we introduce a new three parameter skewed distribution. This new class which is obtained by compounding the normal and Poisson distributions, is presented as an alternative to the class of skew-normal and normal distributions, among others. Different properties of this new distribution have been investigated. The density and distribution functions of proposed distribution, are given by a closed expression which allows us to easily compute probabilities, moments and related measurements. Estimation of the parameters of this new model using maximum likelihood method via an EM-algorithm is given. Finally, some applications of this new distribution to real data are give