WOLFRAM SYSTEM MODELER
cumulativeCumulative distribution function of normal distribution |
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Wolfram Language
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SystemModel["Modelica.Math.Distributions.Normal.cumulative"]
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Information
This information is part of the Modelica Standard Library maintained by the Modelica Association.
Syntax
Normal.cumulative(u, mu=0, sigma=1);
Description
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.
Example
cumulative(0.5) // = 0.6914624612740131 cumulative(0,1,0.5) // = 0.15865525393145707
See also
Syntax
y = cumulative(u, mu, sigma)
Inputs (3)
| u |
Type: Real Description: Value over the real axis (-inf < u < inf) |
|---|---|
| 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 |
Outputs (1)
| y |
Type: Real Description: Value in the range 0 <= y <= 1 |
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Revisions
| Date | Description | ||
|---|---|---|---|
| June 22, 2015 |
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