atoti.experimental.stats.normal.cdf()

atoti.experimental.stats.normal.cdf(point, /, *, mean, standard_deviation)

Cumulative distribution function for a normal distribution.

The cdf is given by the formula

\[\operatorname {cdf}(x) = \frac {1}{2}\left[1 + \operatorname {erf} \left(\frac {x-\mu }{\sigma {\sqrt {2}}}\right)\right]\]

Where \(\mu\) is the mean of the distribution, \(\sigma\) is its standard deviation and \(\operatorname {erf}\) the error function.

Parameters:

• point (VariableMeasureConvertible) – The point where the function is evaluated.

• mean (NumericMeasureConvertible) – The mean value of the distribution.

• standard_deviation (StrictlyPositiveNumber | VariableMeasureConvertible) – The standard deviation of the distribution. Must be positive.

Return type:

MeasureDescription

See also

cdf of a normal distribution.