atoti.experimental.stats.f.pdf()#

atoti.experimental.stats.f.pdf(point, /, *, numerator_degrees_of_freedom, denominator_degrees_of_freedom)#

Probability density function for a F-distribution.

The pdf for a F-distributions with parameters \(d1\) et \(d2\) is

\[\operatorname {pdf}(x) = \frac {\sqrt {\frac {(d_{1}x)^{d_{1}}\,\,d_{2}^{d_{2}}}{(d_{1}x+d_{2})^{d_{1}+d_{2}}}}} {x\,\mathrm {B} \!\left(\frac {d_{1}}{2},\frac {d_{2}}{2}\right)}\]

Where \(\mathrm {B}\) is the beta function.

Parameters:

point (VariableMeasureConvertible) – The point where the function is evaluated.
numerator_degrees_of_freedom (StrictlyPositiveNumber | VariableMeasureConvertible) – Numerator degrees of freedom. Must be positive.
denominator_degrees_of_freedom (StrictlyPositiveNumber | VariableMeasureConvertible) – Denominator degrees of freedom. Must be positive.

Return type:

MeasureDescription