Necessary and sufficient conditions for a Poisson approximation (trivariate case)
The author gives necessary and sufficient conditions for Poisson approximation of sums of independent trivariate Bernoulli vectors. However, the necessity and sufficiency of the two conditions given in this paper are an easy consequence of the general theory of infinitely divisible multivariate distributions, which has been known even since 1950's [see \textit{K. Takano}, Ann. Inst. Stat. Math. 6, 37-113 (1954; Zbl 0058.122)].
Poisson approximation of sums of independent trivariate Bernoulli vectors
scientific article; zbMATH DE number 4030606