ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Binary cartesian set product
▼ Binary relation
▼ Map
▼ Simple map
▼ Simple function
▼ Measurable simple complex function
▼ Random simple number
▼ Random Boolean number
▼ Bernoulli random boolean number
▼ Bernoulli series
▼ Binomial random natural number
▼ Poisson random natural number
Definition D5524
Standard Poisson random natural number
Formulation 1
A D5216: Random natural number $X \in \text{Random}(\mathbb{N})$ is a standard Poisson random natural number if and only if \begin{equation} X \overset{d}{=} \lim_{N \to \infty} \text{Binomial}(N, 1 / N) \end{equation}