an:04080641
Zbl 0661.62038
Kawamura, Kazutomo
The condition for an approximation of Poisson distribution to Bernoulli sums in multivariate distribution
EN
Kodai Math. J. 11, No. 2, 280-286 (1988).
00169054
1988
j
62H10 62E20 60F05
approximation of Poisson distributions; sum of independent Bernoulli sequences; multivariate case
A problem concerning necessary conditions for the approximation of Poisson distributions by the sum of independent Bernoulli sequences in the multivariate case is discussed. One of the conditions proved by the author is \(N p_ i\to \lambda_ i\) as \(N\to \infty\) for \(i\in E\), where \(E=\{0,1\}^ n-0\), \(0=(0,0,...,0)\).
Su Chun