atoti.experimental.stats.normal module¶
Normal distribution, also called Gaussian, Gauss or Laplace–Gauss distribution.
For more information read:

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
See also
cdf of a normal distribution on Wikipedia
 Return type

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
See also
General normal distribution on Wikipedia.
 Return type

atoti.experimental.stats.normal.
ppf
(point, *, mean, standard_deviation)¶ Percent point function for a normal distribution.
Also called inverse cumulative distribution function.
The ppf is given by the formula
\[\operatorname {ppf}(x) = \mu + \sigma \sqrt{2} \operatorname {erf} ^{1}(2x1)\]Where \(\mu\) is the mean of the distribution, \(\sigma\) is its standard deviation and \(\operatorname {erf}^{1}\) the inverse of the error function.
 Parameters
See also
Quantile function of a normal distribution on Wikipedia
 Return type