In the recent statistical literature, the univariate Poisson distribution has been generalized by many authors, among them: the univariate weighted Poisson distribution [13], the generalized univariate Poisson distribution [7], the bivariate Poisson distribution according to Holgate [11], the bivariate Poisson distribution according to Lakshminarayana, Pandit and Srinivasa Rao [15], the bivariate Poisson distribution according to Berkhout and Plug [4], the bivariate weighted Poisson distribution according to Elion et al. [8] and the generalized bivariate Poisson distribution according to Famoye [9]. In this paper, We highlight the weighted bivariate Poisson distribution and show that it is the synthesis of all the bivariate Poisson distributions which, under certain conditions, converge in distribution towards the bivariate Poisson distribution according to Berkhout and Plug [4] which can be considered like the standard distribution in N2 as is the univariate Poisson distribution in N.

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Aims/Objectives: We propose a dual method of Carroll's generalized canonical correlation analysis and we prove by means of the proposed criterion that the duality is formulated by exchanging the operators. It is an extension of Carroll's generalized canonical correlation analysis. The approach of analysis is illustrated on the basis of case study.

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The Co-inertia analysis of the two tables was generalized with the simultaneous analysis several couples of triplets of tables initially in STATICO (STATIS and Co-inertia). The theoretical base of STATICO constitutes two components resulting from two analyses which are the analysis of Co-inertia and ACT-STATIS analyzes. Moreover, the analysis of Co-inertia is recently extended in the analyses of Co-inertia between two vertical multi-tables ACIs1, ACIOs1, ACIs2 and ACIOs2. In