# Normal approximation to Poisson distribution

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
Rating:
Creator(s):
PSU STAT 415 Instructors
Cataloger:
Ivo Dinov
Publisher:
The Pennsylvania State University
Rights:
Penn State University