SSJ
3.3.1
Stochastic Simulation in Java
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This class implements random variate generators for the inverse gamma distribution with shape parameter \(\alpha> 0\) and scale parameter \(\beta> 0\). More...
Public Member Functions | |
InverseGammaGen (RandomStream s, double alpha, double beta) | |
Creates an inverse gamma random variate generator with parameters \(\alpha=\) alpha and \(\beta=\) beta , using stream s . | |
InverseGammaGen (RandomStream s, double alpha) | |
Creates an inverse gamma random variate generator with parameters \(\alpha=\) alpha and \(\beta= 1\), using stream s . | |
InverseGammaGen (RandomStream s, InverseGammaDist dist) | |
Creates a new generator for the distribution dist , using stream s . | |
double | getAlpha () |
Returns the parameter \(\alpha\) of this object. | |
double | getBeta () |
Returns the parameter \(\beta\) of this object. | |
Public Member Functions inherited from RandomVariateGen | |
RandomVariateGen (RandomStream s, Distribution dist) | |
Creates a new random variate generator from the distribution dist , using stream s . More... | |
double | nextDouble () |
Generates a random number from the continuous distribution contained in this object. More... | |
void | nextArrayOfDouble (double[] v, int start, int n) |
Generates n random numbers from the continuous distribution contained in this object. More... | |
double [] | nextArrayOfDouble (int n) |
Generates n random numbers from the continuous distribution contained in this object, and returns them in a new array of size n . More... | |
RandomStream | getStream () |
Returns the umontreal.ssj.rng.RandomStream used by this generator. More... | |
void | setStream (RandomStream stream) |
Sets the umontreal.ssj.rng.RandomStream used by this generator to stream . | |
Distribution | getDistribution () |
Returns the umontreal.ssj.probdist.Distribution used by this generator. More... | |
String | toString () |
Returns a String containing information about the current generator. | |
Static Public Member Functions | |
static double | nextDouble (RandomStream s, double alpha, double beta) |
Generates a variate from the inverse gamma distribution with shape parameter \(\alpha> 0\) and scale parameter \(\beta> 0\). | |
Protected Member Functions | |
void | setParams (double alpha, double beta) |
Protected Attributes | |
double | alpha |
double | beta |
Protected Attributes inherited from RandomVariateGen | |
RandomStream | stream |
Distribution | dist |
This class implements random variate generators for the inverse gamma distribution with shape parameter \(\alpha> 0\) and scale parameter \(\beta> 0\).
The density function of this distribution is
\[ f(x) = \left\{\begin{array}{ll} \displaystyle\frac{\beta^{\alpha}}{ \Gamma(\alpha)} \frac{ e^{-\beta/ x}}{ x^{\alpha+ 1}} & \quad\mbox{for } x > 0 \\ 0 & \quad\mbox{otherwise,} \end{array} \right. \tag{finvgam} \]
where \(\Gamma\) is the gamma function.