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

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

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.