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
point (
MeasureDescription) – The point where the function is evaluated.degrees_of_freedom (
Union[int,float,MeasureDescription,MeasureConvertible]) – The number of degrees of freedom. Must be positive.
See also
- Return type
- 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 (
MeasureDescription) – The point where the function is evaluated.degrees_of_freedom (
Union[int,float,MeasureDescription,MeasureConvertible]) – The number of degrees of freedom. Must be positive.
See also
- Return type
- 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
point (
MeasureDescription) – The point where the function is evaluated.degrees_of_freedom (
Union[int,float,MeasureDescription,MeasureConvertible]) – The number of degrees of freedom. Must be positive.
See also
- Return type