atoti.experimental.stats.chi2 module¶
Chi-square distribution.
For more information read:
- atoti.experimental.stats.chi2.cdf(point, *, degrees_of_freedom)¶
Cumulative distribution function for a chi-square distribution.
The cdf of the chi-square distribution with k degrees of freedom is
\[\operatorname {cdf}(x)=\dfrac {\gamma (\frac {k}{2},\,\frac {x}{2})}{\Gamma (\frac {k}{2})}\]where \(\Gamma\) is the gamma function and \(\gamma\) the lower incomplete 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.chi2.pdf(point, *, degrees_of_freedom)¶
Probability density function for a chi-square distribution.
The pdf of the chi-square distribution with k degrees of freedom is
\[\operatorname {pdf}(x)=\dfrac {x^{\frac {k}{2}-1}e^{-\frac {x}{2}}} {2^\frac {k}{2}\Gamma \left(\frac {k}{2}\right)}\]where \(\Gamma\) 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.chi2.ppf(point, *, degrees_of_freedom)¶
Percent point function for a chi-square 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