WOLFRAM SYSTEM MODELER
densityDensity of truncated normal distribution |
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Wolfram Language
In[1]:=
SystemModel["Modelica.Math.Distributions.TruncatedNormal.density"]
Out[1]:=
Information
This information is part of the Modelica Standard Library maintained by the Modelica Association.
Syntax
Normal.density(u, u_min=0, u_max=1, mu=0, sigma=1);
Description
This function computes the probability density function according to a truncated normal distribution with minimum value u_min, maximum value u_max, mean value of original distribution mu and standard deviation of original distribution sigma (variance = sigma2). Plot of the function:
For more details
of the normal distribution, see
Wikipedia,
of truncated distributions, see
Wikipedia.
Example
density(0.5) // = 1.041828977196953 density(0.5,-1.5,1.5,1,0.9) // = 0.5365495585520803
See also
Syntax
y = density(u, u_min, u_max, mu, sigma)
Inputs (5)
| u |
Type: Real Description: Random number over the real axis (-inf < u < inf) |
|---|---|
| u_min |
Default Value: 0 Type: Real Description: Lower limit of u |
| u_max |
Default Value: 1 Type: Real Description: Upper limit of u |
| mu |
Default Value: (u_max + u_min) / 2 Type: Real Description: Expectation (mean) value of the normal distribution |
| sigma |
Default Value: (u_max - u_min) / 6 Type: Real Description: Standard deviation of the normal distribution |
Outputs (1)
| y |
Type: Real Description: Density of u |
|---|
Revisions
| Date | Description | ||
|---|---|---|---|
| June 22, 2015 |
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