SSJ
3.3.1
Stochastic Simulation in Java
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This class implements random variate generators for the gamma distribution. More...
Public Member Functions | |
GammaGen (RandomStream s, double alpha, double lambda) | |
Creates a gamma random variate generator with parameters \(\alpha=\) alpha and \(\lambda\) = lambda , using stream s . | |
GammaGen (RandomStream s, double alpha) | |
Creates a gamma random variate generator with parameters \(\alpha=\) alpha and \(\lambda= 1\), using stream s . | |
GammaGen (RandomStream s, GammaDist dist) | |
Creates a new generator object for the gamma distribution dist and stream s . | |
double | getAlpha () |
Returns the parameter \(\alpha\) of this object. | |
double | getLambda () |
Returns the parameter \(\lambda\) 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 lambda) |
Generates a new gamma random variate with parameters \(\alpha= \) alpha and \(\lambda= \) lambda , using stream s . | |
Protected Member Functions | |
void | setParams (double alpha, double lambda) |
Sets the parameter \(\alpha\) and \(\lambda\) of this object. | |
Protected Attributes | |
double | alpha = -1.0 |
double | lambda = -1.0 |
Protected Attributes inherited from RandomVariateGen | |
RandomStream | stream |
Distribution | dist |
This class implements random variate generators for the gamma distribution.
Its parameters are \(\alpha>0\) and \(\lambda>0\). Its density function is
\[ f(x) = \lambda^{\alpha}x^{\alpha- 1}e^{-\lambda x} / \Gamma(\alpha) \qquad\mbox{ for } x>0, \tag{fgamma} \]
where \(\Gamma\) is the gamma function defined by
\[ \Gamma(\alpha) = \int_0^{\infty}x^{\alpha- 1} e^{-x} dx. \tag{Gamma} \]
The (non-static) nextDouble
method simply calls inverseF
on the distribution.