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Normal approximation to Poisson distribution  


Course Topic(s): Probability | Continuous Distributions, normal | Discrete Distribution, Poisson | Convergence Theorems, central limit theorem

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.

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


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Subject classification(s): Univariate Distributions | Probability | Statistics and Probability

Creator(s): PSU STAT 415 Instructors

Contributor(s): PSU STAT 415 Instructors

This resource was cataloged by Ivo Dinov

Publisher:
The Pennsylvania State University

Resource copyright: Penn State University

This review was published on September 19, 2012

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