SSJ
3.3.1
Stochastic Simulation in Java
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Same as VarianceGammaProcessDiff, but the two inner GammaProcess ’es are of the PCASymmetricalBridge type. More...
Public Member Functions | |
VarianceGammaProcessDiffPCASymmetricalBridge (double s0, double theta, double sigma, double nu, RandomStream stream) | |
Constructs a new VarianceGammaProcessDiffPCASymmetricalBridge with parameters \(\theta= \mathtt{theta}\), \(\sigma= \mathtt{sigma}\), \(\nu= \mathtt{nu}\) and initial value \(S(t_0) = \mathtt{s0}\). More... | |
Public Member Functions inherited from VarianceGammaProcessDiffPCA | |
VarianceGammaProcessDiffPCA (double s0, double theta, double sigma, double nu, RandomStream stream) | |
Constructs a new VarianceGammaProcessDiffPCA with parameters \(\theta= \mathtt{theta}\), \(\sigma= \mathtt{sigma}\), \(\nu= \mathtt{nu}\) and initial value \(S(t_0) = \mathtt{s0}\). More... | |
VarianceGammaProcessDiffPCA (double s0, double theta, double sigma, double nu, GammaProcessPCA gpos, GammaProcessPCA gneg) | |
Constructs a new VarianceGammaProcessDiffPCA with parameters \(\theta= \mathtt{theta}\), \(\sigma= \mathtt{sigma}\), \(\nu= \mathtt{nu}\) and initial value \(S(t_0) = \mathtt{s0}\). More... | |
double | nextObservation () |
This method is not implemented is this class since the path cannot be generated sequentially. | |
double [] | generatePath () |
double [] | generatePath (double[] uniform01) |
Public Member Functions inherited from VarianceGammaProcessDiff | |
VarianceGammaProcessDiff (double s0, double theta, double sigma, double nu, RandomStream stream) | |
Constructs a new VarianceGammaProcessDiff with parameters \(\theta= \mathtt{theta}\), \(\sigma= \mathtt{sigma}\), \(\nu= \mathtt{nu}\) and initial value \(S(t_0) = \mathtt{s0}\). More... | |
VarianceGammaProcessDiff (double s0, double theta, double sigma, double nu, GammaProcess gpos, GammaProcess gneg) | |
The parameters of the GammaProcess objects for \(\Gamma^+\) and \(\Gamma^-\) are set to those of ( dblGammaParams ) and their initial values \(\Gamma^+(t_0)\) and \(\Gamma^-(t_0)\) are set to \(t_0\). More... | |
double | nextObservation () |
double [] | generatePath () |
Generates, returns and saves the path. More... | |
double [] | generatePath (double[] uniform01) |
Similar to the usual generatePath() , but here the uniform random numbers used for the simulation must be provided to the method. More... | |
void | resetStartProcess () |
Sets the observation times on the VarianceGammaProcessDiff as usual, but also applies the resetStartProcess method to the two GammaProcess objects used to generate this process. | |
GammaProcess | getGpos () |
Returns a reference to the GammaProcess object gpos used to generate the \(\Gamma^+\) component of the process. | |
GammaProcess | getGneg () |
Returns a reference to the GammaProcess object gneg used to generate the \(\Gamma^-\) component of the process. | |
void | setObservationTimes (double t[], int d) |
Sets the observation times on the VarianceGammaProcesDiff as usual, but also sets the observation times of the underlying GammaProcess ’es. | |
RandomStream | getStream () |
Returns the RandomStream of the \(\Gamma^+\) process. | |
void | setStream (RandomStream stream) |
Sets the umontreal.ssj.rng.RandomStream of the two GammaProcess ’es to stream . | |
Public Member Functions inherited from VarianceGammaProcess | |
VarianceGammaProcess (double s0, double theta, double sigma, double nu, RandomStream stream) | |
Constructs a new VarianceGammaProcess with parameters \(\theta= \mathtt{theta}\), \(\sigma= \mathtt{sigma}\), \(\nu= \mathtt{nu}\) and initial value \(S(t_0) = \mathtt{s0}\). More... | |
VarianceGammaProcess (double s0, BrownianMotion BM, GammaProcess Gamma) | |
Constructs a new VarianceGammaProcess . More... | |
double | nextObservation () |
Generates the observation for the next time. More... | |
double [] | generatePath () |
Generates and returns the path. More... | |
double [] | generatePath (double[] uniform01) |
Similar to the usual generatePath() , but here the uniform random numbers used for the simulation must be provided to the method. More... | |
void | resetStartProcess () |
Resets the observation index and counter to 0 and applies the resetStartProcess method to the BrownianMotion and the GammaProcess objects used to generate this process. | |
void | setParams (double s0, double theta, double sigma, double nu) |
Sets the parameters \(S(t_0) =\) s0 , \(\theta=\) theta , \(\sigma=\) sigma and \(\nu=\) nu of the process. More... | |
double | getTheta () |
Returns the value of the parameter \(\theta\). | |
double | getSigma () |
Returns the value of the parameter \(\sigma\). | |
double | getNu () |
Returns the value of the parameter \(\nu\). | |
void | setObservationTimes (double t[], int d) |
Sets the observation times on the VarianceGammaProcess as usual, but also sets the observation times of the underlying GammaProcess. More... | |
void | setStream (RandomStream stream) |
Resets the umontreal.ssj.rng.RandomStream ’s. More... | |
RandomStream | getStream () |
Returns the random stream of the BrownianMotion process, which should be the same as for the GammaProcess. | |
BrownianMotion | getBrownianMotion () |
Returns a reference to the inner BrownianMotion. | |
GammaProcess | getGammaProcess () |
Returns a reference to the inner GammaProcess. | |
Public Member Functions inherited from StochasticProcess | |
void | setObservationTimes (double[] T, int d) |
Sets the observation times of the process to a copy of T , with. More... | |
void | setObservationTimes (double delta, int d) |
Sets equidistant observation times at \(t_j = j\delta\), for. More... | |
double [] | getObservationTimes () |
Returns a reference to the array that contains the observation times. More... | |
int | getNumObservationTimes () |
Returns the number \(d\) of observation times, excluding the time \(t_0\). | |
abstract double [] | generatePath () |
Generates, returns, and saves the sample path \(\{X(t_0), X(t_1), \dots, X(t_d)\}\). More... | |
double [] | generatePath (RandomStream stream) |
Same as generatePath() , but first resets the stream to stream . | |
double [] | getPath () |
Returns a reference to the last generated sample path \(\{X(t_0), ... , X(t_d)\}\). More... | |
void | getSubpath (double[] subpath, int[] pathIndices) |
Returns in subpath the values of the process at a subset of the observation times, specified as the times \(t_j\) whose indices. More... | |
double | getObservation (int j) |
Returns \(X(t_j)\) from the current sample path. More... | |
void | resetStartProcess () |
Resets the observation counter to its initial value \(j=0\), so that the current observation \(X(t_j)\) becomes \(X(t_0)\). More... | |
boolean | hasNextObservation () |
Returns true if \(j<d\), where \(j\) is the number of observations of the current sample path generated since the last call to resetStartProcess. More... | |
double | nextObservation () |
Generates and returns the next observation \(X(t_j)\) of the stochastic process. More... | |
int | getCurrentObservationIndex () |
Returns the value of the index \(j\) corresponding to the time. More... | |
double | getCurrentObservation () |
Returns the value of the last generated observation \(X(t_j)\). | |
double | getX0 () |
Returns the initial value \(X(t_0)\) for this process. | |
void | setX0 (double s0) |
Sets the initial value \(X(t_0)\) for this process to s0 , and reinitializes. | |
abstract void | setStream (RandomStream stream) |
Resets the random stream of the underlying generator to stream . | |
abstract RandomStream | getStream () |
Returns the random stream of the underlying generator. | |
int [] | getArrayMappingCounterToIndex () |
Returns a reference to an array that maps an integer \(k\) to \(i_k\), the index of the observation \(S(t_{i_k})\) corresponding to the \(k\)-th observation to be generated for a sample path of this process. More... | |
Additional Inherited Members | |
Protected Member Functions inherited from VarianceGammaProcessDiffPCA | |
void | init () |
Protected Member Functions inherited from VarianceGammaProcessDiff | |
void | init () |
Protected Member Functions inherited from VarianceGammaProcess | |
void | init () |
Protected Member Functions inherited from StochasticProcess | |
void | init () |
Protected Attributes inherited from VarianceGammaProcessDiff | |
GammaProcess | gpos |
GammaProcess | gneg |
double | mup |
Protected Attributes inherited from VarianceGammaProcess | |
GammaProcess | randomTime |
BrownianMotion | BM |
double | theta |
Protected Attributes inherited from StochasticProcess | |
boolean | observationTimesSet = false |
double | x0 = 0.0 |
int | d = -1 |
int | observationIndex = 0 |
int | observationCounter = 0 |
double [] | t |
double [] | path |
int [] | observationIndexFromCounter |
Package Attributes inherited from VarianceGammaProcessDiffPCA | |
int [] | indexEigenUp |
int [] | indexEigenDw |
Package Attributes inherited from VarianceGammaProcessDiff | |
double | mun |
double | nup |
double | nun |
Package Attributes inherited from VarianceGammaProcess | |
double | sigma |
double | nu |
Same as VarianceGammaProcessDiff, but the two inner GammaProcess ’es are of the PCASymmetricalBridge type.
Also, generatePath(double[] uniform01)
distributes the lowest coordinates uniforms to the inner GammaProcessPCA according to their eigenvalues.
VarianceGammaProcessDiffPCASymmetricalBridge | ( | double | s0, |
double | theta, | ||
double | sigma, | ||
double | nu, | ||
RandomStream | stream | ||
) |
Constructs a new VarianceGammaProcessDiffPCASymmetricalBridge with parameters \(\theta= \mathtt{theta}\), \(\sigma= \mathtt{sigma}\), \(\nu= \mathtt{nu}\) and initial value \(S(t_0) = \mathtt{s0}\).
There is only one umontreal.ssj.rng.RandomStream here which is used for the two inner GammaProcessPCASymmetricalBridge ’s. The other parameters are set as in VarianceGammaProcessDiff.