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

atoti.experimental.stats.t.pdf(point, /, *, degrees_of_freedom)#

Probability density function for a Student’s t distribution.

The pdf of a Student’s t-distribution is:

\[\operatorname {pdf}(x)=\frac {\Gamma (\frac {\nu +1}{2})}{\sqrt {\nu \pi }\,\Gamma (\frac {\nu }{2})} \left(1+\frac {x^{2}}{\nu }\right)^{-\frac {\nu +1}{2}}\]

where \(\nu\) is the number of degrees of freedom and \(\Gamma\) is the gamma function.

Parameters:

point (VariableMeasureConvertible) – The point where the function is evaluated.
degrees_of_freedom (StrictlyPositiveNumber | VariableMeasureConvertible) – The number of degrees of freedom. Must be positive.

Return type:

MeasureDescription