atoti.experimental.stats.chi2 module

Chi-square distribution.

For more information read:

• scipy.stats.chi2

• The Chi-square Wikipedia page

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

$$\mathrm{cdf}(x)={\displaystyle \frac{\gamma (\frac{k}{2},\frac{x}{2})}{\mathrm{\Gamma }(\frac{k}{2})}}$$

where $\mathrm{\Gamma }$ 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

The Chi-square Wikipedia page

Return type

MeasureDescription

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

$$\mathrm{pdf}(x)={\displaystyle \frac{x^{\frac{k}{2}-1}{e}^{-\frac{x}{2}}}{2^{\frac{k}{2}}\mathrm{\Gamma }\left(\frac{k}{2}\right)}}$$

where $\mathrm{\Gamma }$ 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

The Chi-square Wikipedia page

Return type

MeasureDescription

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

The Chi-square Wikipedia page

Return type

MeasureDescription