> ## Documentation Index
> Fetch the complete documentation index at: https://docs.activeviam.com/llms.txt
> Use this file to discover all available pages before exploring further.

# cdf()

<span id="atoti.stats.f.cdf" />

> atoti.stats.f.cdf(<br />
>     *point*: VariableMeasureConvertible,<br />
>     /,<br />
>     \*,<br />
>     *numerator\_degrees\_of\_freedom*: StrictlyPositiveNumber | VariableMeasureConvertible,<br />
>     *denominator\_degrees\_of\_freedom*: StrictlyPositiveNumber | VariableMeasureConvertible,<br />
> ) → MeasureDefinition

Cumulative distribution function for a F-distribution.

<Warning>
  This feature is [`experimental`](./atoti.experimental#atoti.experimental), its key is `"stats.f.cdf"`.
</Warning>

The cdf for a F-distributions with parameters $d1$ et $d2$ is

$$
\operatorname {{cdf}}(x) = I_{{\frac {{d_{{1}}x}}{{d_{{1}}x+d_{{2}}}}}} \left(\tfrac {{d_{{1}}}}{{2}},\tfrac {{d_{{2}}}}{{2}}\right)
$$

where I is the [regularized incomplete beta function](https://en.wikipedia.org/wiki/Beta_function#Incomplete_beta_function).

### Parameters

<h4 id="atoti.stats.f.cdf.point">
  *point*
</h4>

The point where the function is evaluated.

<h4 id="atoti.stats.f.cdf.numerator_degrees_of_freedom">
  *numerator\_degrees\_of\_freedom*
</h4>

Numerator degrees of freedom.
Must be positive.

<h4 id="atoti.stats.f.cdf.denominator_degrees_of_freedom">
  *denominator\_degrees\_of\_freedom*
</h4>

Denominator degrees of freedom.
Must be positive.

***

<Callout icon="link">
  **See also**:
  [The F-distribution Wikipedia page](https://en.wikipedia.org/wiki/F-distribution).
</Callout>