quantileQuantile of normal distribution |
This information is part of the Modelica Standard Library maintained by the Modelica Association.
Normal.quantile(u, y_min=0, y_max=1);
This function computes the inverse cumulative distribution function (= quantile) according to a normal distribution with mean value mu and standard deviation sigma (variance = sigma2). Input argument u must be in the range:
0 < u < 1
If the input argument u is a uniformly distributed random number, then 99.7 % of the returned random numbers are in the range:
mu-3*sigma ≤ y ≤ mu+3*sigma
Plot of the function:
For more details, see Wikipedia.
quantile(0.001) // = -3.090232306167813; quantile(0.5,1,0.5) // = 1
u |
Type: Real Description: Random number in the range 0 <= u <= 1 |
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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: Random number u transformed according to the given distribution |
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