Linked from

The 5 pages that link to Poisson limit theorem, each with the reason it gives.

• Central limit theoremCompared with: Rare-event counts can have a Poisson limit instead of a Gaussian one.

• 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.