atoti.stats.f.pdf()#

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

Probability density function for a F-distribution.

Warning

This feature is experimental, its key is "stats.f.pdf".

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:

MeasureDefinition