Abstract:It is well known that a binomial $(n,p)$ can be approximated by a Poisson distribution with parameter $np$. The typical approach in undergraduate probability texts is to show a convergence result for the distribution of the binomial as $n$ goes to infinity and $np$ converges to some $\lambda$. In this note we use instead the coupling technique to show a much more general result. Moreover, we only use elementary results from probability.
From: Rinaldo Schinazi [view email]
[v1]
Sun, 3 May 2026 14:20:55 UTC (3 KB)
[v2]
Tue, 16 Jun 2026 11:56:16 UTC (3 KB)
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