# QuantLib_PoissonDistribution man page

PoissonDistribution — Poisson distribution function.

## Synopsis

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

Inherits unary_function< Real, Real >.

### Public Member Functions

**PoissonDistribution** (**Real** mu)**Real operator()** (**BigNatural** k) const

## Detailed Description

Poisson distribution function.

Given an integer $ k $, it returns its probability in a Poisson distribution.

**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

PoissonDistribution(3) is an alias of QuantLib_PoissonDistribution(3).

Fri Feb 10 2017 Version 1.9.1 QuantLib