Asymptotic behaviour of a multinomial distribution
Abstract
Let $P_n(m_1,\dots,m_k)$ be the probability of a multinomial distribution and $\Pi_1$ , $\Pi_2$ and $\Pi_3$ be multidimensional distributions: Poisson, Gaussian and a combination of them respectively. Asymptotic estimates for the sums $$ \sum_{m_1+\dots+m_k=n}|P_n-\Pi_i|\qquad(i=1,2,3) $$are obtained.
Submission history
[v1] 1976