# QuantLib_CumulativePoissonDistribution man page

CumulativePoissonDistribution — Cumulative Poisson distribution function.

## Synopsis

`#include <ql/math/distributions/poissondistribution.hpp>`

Inherits unary_function< Real, Real >.

### Public Member Functions

CumulativePoissonDistribution(Realmu)Real operator()(BigNaturalk) const

## Detailed Description

Cumulative Poisson distribution function.

This function provides an approximation of the integral of the Poisson distribution.

For this implementation see 'Numerical Recipes in C', 2nd edition, Press, Teukolsky, Vetterling, Flannery, chapter 6

**Tests**

the correctness of the returned value is tested by checking it against known good results.

## Author

Generated automatically by Doxygen for QuantLib from the source code.

## Referenced By

CumulativePoissonDistribution(3) is an alias of QuantLib_CumulativePoissonDistribution(3).