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 (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

General normal distribution.