Difference between revisions of "CumNormal"

Latest revision as of 18:53, 17 August 2021

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+#REDIRECT [[Normal distribution#CumNormal]]
 [[Category: Analytic Distribution Functions]]
-[[Category: Distribution Densities library functions]]
+[[Category: Cumulative distribution functions]]
-[[Category:Doc Status C]] <!-- For Lumina use, do not change -->
-== CumNormal(X, mean, stddev) ==
-Returns the cumulative probability
-:<math>p = Pr[x \le X] = {1\over{\sigma \sqrt{2\pi}}} \int_{-\infty}^x exp\left(- {1\over 2} {{(X-\mu)^2}\over\sigma^2}\right)</math>
-for a [[Normal|normal distribution]] with a given mean and standard deviation.  «Mean» and «stddev» are optional and default to ''Mean = 0'', ''stddev = 1''.
-:<code>CumNormal(1) - CumNormal(-1) &rarr; .683</code>
-i.e., 68.3% of the area under a normal distribution is contained within one standard deviation of the mean.
-:[[image:CumNormalGraph.png]]
-== Library ==
-[[Distribution Densities Library]]  ([[media:Distribution Densities.ana|Distribution Densities.ana]])
-== See Also ==
-* [[CumNormalInv]] -- the inverse cumulative density
-* [[Normal]] -- The normal distribution
-* [[Erf]] -- The closely related error function
-* [[Sigmoid]](x) -- Another sigmoidal-shaped function
-* [[Distribution Densities Library]]
-* [[media:Distribution Densities.ana|Distribution Densities.ana]]