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 umontreal.ssj.randvar.RandomVariateGen | |
| RandomVariateGen (RandomStream s, Distribution dist) | |
| Creates a new random variate generator from the distribution dist, using stream s. | |
| double | nextDouble () |
| Generates a random number from the continuous distribution contained in this object. | |
| void | nextArrayOfDouble (double[] v, int start, int n) |
| Generates n random numbers from the continuous distribution contained in this object. | |
| 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. | |
| RandomStream | getStream () |
| Returns the umontreal.ssj.rng.RandomStream used by this generator. | |
| 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. | |
| 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. | |
This class implements random variate generators for the chi distribution.
It has \(\nu>0\) degrees of freedom and its density function is (see [95] , 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).
Definition at line 47 of file ChiGen.java.
| umontreal.ssj.randvar.ChiGen.ChiGen | ( | RandomStream | s, |
| int | nu ) |
Creates a chi random variate generator with \(\nu=\) nu degrees of freedom, using stream s.
Definition at line 54 of file ChiGen.java.
| umontreal.ssj.randvar.ChiGen.ChiGen | ( | RandomStream | s, |
| ChiDist | dist ) |
Create a new generator for the distribution dist, using stream s.
Definition at line 62 of file ChiGen.java.
| int umontreal.ssj.randvar.ChiGen.getNu | ( | ) |
Returns the value of \(\nu\) for this object.
Definition at line 82 of file ChiGen.java.
|
static |
Generates a random variate from the chi distribution with \(\nu= \) nu degrees of freedom, using stream s.
Reimplemented in umontreal.ssj.randvar.ChiRatioOfUniformsGen.
Definition at line 73 of file ChiGen.java.