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StatsEValueCDF

StatsEValueCDF (x, µ, σ)​

The StatsEValueCDF function returns the extreme-value (type I, Gumbel) cumulative distribution function

F(x;μ,σ)=1−exp⁡(−exp⁡(x−μσ)),\displaystyle F(x ; \mu, \sigma)=1-\exp \left(-\exp \left(\frac{x-\mu}{\sigma}\right)\right),

where σ > 0. This is also known as the "minimum" form or distribution of the smallest extreme. To obtain the distribution of the largest extreme reverse the sign of σ.

See Also​

Statistical Analysis, StatsEValuePDF, StatsInvEValueCDF, StatsGEVCDF, StatsGEVPDF