atoti.experimental.stats.t module

Student’s t distribution.

For more information read:

atoti.experimental.stats.t.cdf(point, *, degrees_of_freedom)

Cumulative distribution function for a Student’s t distribution.

Parameters
Return type

Measure

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
Return type

Measure

atoti.experimental.stats.t.ppf(point, *, degrees_of_freedom)

Percent point function for a Student’s t distribution.

Also called inverse cumulative distribution function.

Parameters
Return type

Measure