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Poisson probability density.

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Interface
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Interface

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 $\inline \lambda$ .

$P_v(n) = \frac{(\lambda x)^n e^{-\lambda x}}{n!}$

(2)

where $\inline v= \lambda x$

Example:

#include <iostream>
#include <codecogs/statistics/distributions/discrete/poisson/pdf.h>
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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