Gamma Distribution
Gamma
The Gamma distribution has the probability density function (PDF):
where \(\theta>0\) is the scale and \(k>0\) the shape parameter. The mean of the Gamma distribution is given by \(\theta k\).
Usage
e["Distribution"][*index*]["Type"] = "Univariate/Gamma"
Distribution Configuration
These are settings required by this distribution.
- Shape
Usage: e[“Shape”] = real number
Description: The shape parameter of the Gamma distribution, it controls the mean and skewness.
- Scale
Usage: e[“Scale”] = real number
Description: The scale parameter of the Gamma distribution, it controls the mean.
Configuration
These are settings required by this module.
- Name
Usage: e[“Name”] = string
Description: Defines the name of the distribution.
- Random Seed
Usage: e[“Random Seed”] = unsigned integer
Description: Defines the random seed of the distribution.
- Range
Usage: e[“Range”] = gsl_rng
Description: Stores the current state of the distribution in hexadecimal notation.
Default Configuration
These following configuration will be assigned by default. Any settings defined by the user will override the given settings specified in these defaults.
{ "Name": "", "Random Seed": 0, "Range": "" }