Normal approximation to Poisson distribution

Topic(s):

Normal Approximation to Poisson is justified by the Central Limit Theorem. If \(Y\) denotes the number of events occurring in an interval with mean \(\lambda\) and variance \(\lambda\), and \(X_1, X_2,\ldots, X_\ldots\) are independent Poisson random variables with mean 1, then the sum of \(X\)'s is a Poisson random variable with mean \(\lambda\). This site provides analytical description of this fact and includes an example.

Identifier:

https://onlinecourses.science.psu.edu/stat414/node/180

Subject:

Univariate Distributions

Probability

Statistics and Probability

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