Open AccessThe Bivariate Extended Poisson Distribution of Type 1
Author(s) -
Bidounda Rufin,
Michel Koukouatikissa Diafouka,
R ́eolie Foxie Miz ́el ́e Kitoti,
Dominique Mizère
Publication year - 2021
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v14i4.4151
Subject(s) - mathematics , bivariate analysis , poisson distribution , marginal distribution , univariate , univariate distribution , compound poisson distribution , joint probability distribution , statistics , distribution (mathematics) , bivariate data , zero inflated model , independence (probability theory) , poisson regression , mathematical analysis , multivariate statistics , random variable , population , demography , sociology
In this paper, we will construct the bivariate extended Poisson distribution whichgeneralizes the univariate extended Poisson distribution. This law will be obtained by the method of the product of its marginal laws by a factor. This method was demonstrated in [7]. Thus we call the bivariate extended Poisson distribution of type 1 the bivariate extended Poisson distribution obtained by the method of the product of its marginal distributions by a factor. We will show that this distribution belongs to the family of bivariate Poisson distributions and and will highlight the conditions relating to the independence of the marginal variables. A simulation study was realised.