SSJ
3.3.1
Stochastic Simulation in Java
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This class implements random variate generators for the chi distribution. More...
Public Member Functions | |
ChiGen (RandomStream s, int nu) | |
Creates a chi random variate generator with \(\nu=\) nu degrees of freedom, using stream s . | |
ChiGen (RandomStream s, ChiDist dist) | |
Create a new generator for the distribution dist , using stream s . | |
int | getNu () |
Returns the value of \(\nu\) for 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, int nu) |
Generates a random variate from the chi distribution with \(\nu= \) nu degrees of freedom, using stream s . | |
Protected Member Functions | |
void | setParams (int nu) |
Protected Attributes | |
int | nu = -1 |
Protected Attributes inherited from RandomVariateGen | |
RandomStream | stream |
Distribution | dist |
This class implements random variate generators for the chi distribution.
It has \(\nu>0\) degrees of freedom and its density function is (see [99] , page 417)
\[ f (x) = \frac{e^{-x^2 /2} x^{\nu-1}}{2^{(\nu/2) - 1}\Gamma(\nu/2)} \qquad\mbox{for } x > 0, \tag{Fchi} \]
where \(\Gamma(x)\) is the gamma function defined in ( Gamma ).
The (non-static) nextDouble
method simply calls inverseF
on the distribution (slow).