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Parameters |
\(\lambda\), non-negative rate |
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Kernel |
\({\lambda ^x}\exp ( - \lambda )/x!\) |
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Support |
Non-negative integers |
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Mean |
\(\lambda\) |
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Variance |
\(\lambda\) |
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Main Uses |
Probability model for counts of "rare" events where there is no upper bound. |
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Probability |
%POISSONK(lambda,count) is the probability of exactly count occurrences given parameter lambda. %LOGPOISSONK(lambda,count) is the log of the probability of exactly count occurrences given parameter lambda. |
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Cumulative Probability |
%POISSON(lambda,count) is the probability of at most count occurrences given parameter lambda. |
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Moment Matching |
The parameter is the mean (and variance). |
Copyright © 2025 Thomas A. Doan