atoti.experimental.stats.normal.pdf()#

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

Probability density function for a normal distribution.

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 (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