cumulativeCumulative distribution function of normal distribution |
This information is part of the Modelica Standard Library maintained by the Modelica Association.
Normal.cumulative(u, mu=0, sigma=1);
This function computes the cumulative distribution function according to a normal distribution with mean value mu and standard deviation sigma (variance = sigma2). The returned value y is in the range:
0 ≤ y ≤ 1
Plot of the function:
For more details, see Wikipedia.
cumulative(0.5) // = 0.6914624612740131 cumulative(0,1,0.5) // = 0.15865525393145707
u |
Type: Real Description: Value over the real axis (-inf < u < inf) |
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mu |
Default Value: 0 Type: Real Description: Expectation (mean) value of the normal distribution |
sigma |
Default Value: 1 Type: Real Description: Standard deviation of the normal distribution |
y |
Type: Real Description: Value in the range 0 <= y <= 1 |
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