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 (NonConstantMeasureConvertible) – The point where the function is evaluated.
mean (NumericMeasureConvertible) – The mean value of the distribution.
standard_deviation (int | float | NonConstantMeasureConvertible) – The standard deviation of the distribution. Must be positive.

Return type:

MeasureDescription