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# PDF

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Poisson probability density.
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Contents

C++

## PDF

 doublePDF( int n double lambda )
Calculates the Poisson distribution probability density for a number of events, n, with an expected mean value of $\inline&space;\lambda$.

$P_v(n)&space;=&space;\frac{(\lambda&space;x)^n&space;e^{-\lambda&space;x}}{n!}$
where $\inline&space;&space;v=&space;\lambda&space;x$

## Example:

#include <iostream>

using namespace Stats::Dists::Discrete::Poisson;

int main()
{
std::cout << "\nPoisson distribution probability density of 2 events and 5  mean value is : \n";
std::cout << "PDF(2,5) = " << PDF(2,5);
return 0;
}

## Output:

Poisson distribution probability density of 2 events and 5  mean value is :
PDF(2,5) = 0.0842243

### Parameters

 n the number of events (or sample size) lambda the expected mean value, which must be greater than zero.

### Returns

the Poisson distribution probability density. Returns -1 on an error.

### Authors

Eugene Dolinskyy
Update by Will Bateman (August 2005)
##### Source Code

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