atoti.stats.normal.pdf()#

atoti.stats.normal.pdf(point, /, *, mean=0, standard_deviation=1)#

Probability density function for a normal distribution.

Warning

This feature is experimental, its key is "stats.normal.pdf".

The pdf is given by the formula

\[\operatorname {{pdf}}(x) = \frac{{1}}{{ \sigma \sqrt{{2 \pi}} }} e^{{-\frac{{1}}{{2}} \left(\frac{{x - \mu}}{{\sigma}}\right)^{{2}}}}\]

Where \(\mu\) is the mean (or expectation) of the distribution while \(\sigma\) is its standard deviation.

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:

MeasureDefinition