KnowraPoisson limit theoremLinked fromLinked fromThe 5 pages that link to Poisson limit theorem, each with the reason it gives.All 5Related 2Compared with 3Central limit theoremCompared with: Rare-event counts can have a Poisson limit instead of a Gaussian one.Poisson distributionRelated: It derives the distribution as a limit of rare independent trials.Lévy's continuity theoremRelated: Convergence of the associated characteristic functions can establish the Poisson limit.De Moivre–Laplace theoremCompared with: It gives a different binomial limit when success probability shrinks as trial count grows.Le Cam's theoremCompared with: It gives an asymptotic approximation, while Le Cam's theorem provides a finite-sample error bound.