%0 Journal Article
%T Normal¨CPoisson distribution as a lifetime of a series system
%A Eisa Mahmoudi
%A Fatemeh Esfandiari
%A Hamed Mahmoodian
%J -
%D 2018
%R http://dx.doi.org/10.5902/2179460X29285
%X 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 given
%K Normal distribution
%K Poisson distribution
%K EM-algorithm
%K Maximum likelihood estimation
%U https://periodicos.ufsm.br/cienciaenatura/article/view/29285