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CDF

Evaluates the Poisson distribution CDF.
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C++

CDF

 doubleCDF( int k double m bool upper` = false` )
This function evaluates the Poisson distrubtion CDF.

Example:

```#include <stdio.h>
#include <codecogs/statistics/distributions/discrete/poisson/cdf.h>
using namespace Stats::Dists::Discrete::Poisson;
int main()
{
int k[10] = { 9, 5, 1, 5, 8, 9, 0, 5, 2, 10 };
double m[10] = { 1.0, 7.3, 0.2, 4.7, 5.4, 6.0, 9.3, 8.9, 1.8, 6.2 };
for( int i=0; i<10; i++ )
printf(  "CDF( %i, %1.1f, true ) = %f \n",
k[i], m[i], CDF( k[i], m[i] )  );
return getchar();
}```

Output:

```CDF( 9, 1.0, true ) = 1.000000
CDF( 5, 7.3, true ) = 0.264043
CDF( 1, 0.2, true ) = 0.982477
CDF( 5, 4.7, true ) = 0.668438
CDF( 8, 5.4, true ) = 0.902650
CDF( 9, 6.0, true ) = 0.916076
CDF( 0, 9.3, true ) = 0.000091
CDF( 5, 8.9, true ) = 0.121900
CDF( 2, 1.8, true ) = 0.730621
CDF( 10, 6.2, true ) = 0.948559```

Accuracy:

See Maths/Special/Gamma/Gamma_Lower_reg

Parameters

 k the number of terms to sum, must be positive m lambda, must be strictly positive upper Default value = false

Returns

the sum of the terms k to infinity of the Poisson distribution

Authors

Stephen L. Moshier (June 2000)
Updated by Vince Cole (April 2005)
Source Code

Source code is available when you agree to a GP Licence or buy a Commercial Licence.

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