On sum of 0-1 random variables, II. Multivariate case (Q1111229)

This article deals with the exact distribution of the sum of 0-1 random variables. The general multivariate case is considered here which is a generalization of the detailed discussion of the univariate case in part I, ibid., 85-102 (1987; Zbl 0619.60015). Independence of the variables is not assumed but some invariance conditions and exchangeability are assumed. Approximations to binomial and Poisson as well as asymptotic normality are also discussed. The technique used is to go through the moments, moment generating and probability generating functions.