where <math>\operatorname E</math> denotes the [[expected value|expectation]] operator. In other words, the parameter <math display=inline>e \lambda</math> of the Poisson process coincides with the ''density'' of points. Furthermore, the homogeneous Poisson point process adheres to its own form of the (strong) law of large numbers.<ref name="Kingman1992page42">{{cite book|author=J. F. C. Kingman|title=Poisson Processes|url=https://books.google.com/books?id=VEiM-OtwDHkC|date=17 December 1992|publisher=Clarendon Press|isbn=978-0-19-159124-2|page=42}}</ref> More specifically, with probability one:
