- All Known Subinterfaces:
BrownianMotion
- All Known Implementing Classes:
BrownianBridge
,BrownianMotionFromMersenneRandomNumbers
,BrownianMotionFromRandomNumberGenerator
,BrownianMotionLazyInit
,BrownianMotionView
,BrownianMotionWithControlVariate
,CorrelatedBrownianMotion
,GammaProcess
,IndependentIncrementsFromICDF
,JumpProcessIncrements
,MertonJumpProcess
,VarianceGammaProcess
public interface IndependentIncrements
Interface description of a time-discrete n-dimensional stochastic process
\( X = (X_{1},\ldots,X_{n}) \) provided by independent
increments \( \Delta X(t_{i}) = X(t_{i+1})-X(t_{i}) \).
Here the dimension n is called factors since this process is used to
generate multi-dimensional multi-factor processes and there one might
use a different number of factors to generate processes of different
dimension.
- Version:
- 1.3
- Author:
- Christian Fries
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Method Summary
Modifier and TypeMethodDescriptiongetCloneWithModifiedSeed(int seed)
Return a new object implementing BrownianMotion having the same specifications as this object but a different seed for the random number generator.getCloneWithModifiedTimeDiscretization(TimeDiscretization newTimeDiscretization)
Return a new object implementing BrownianMotion having the same specifications as this object but a different time discretization.default RandomVariable[]
getIncrement(int timeIndex)
Return the increment for a given timeIndex.getIncrement(int timeIndex, int factor)
Return the increment for a given timeIndex and given factor.int
Returns the number of factors.int
Returns the number of paths.getRandomVariableForConstant(double value)
Returns a random variable which is initialized to a constant, but has exactly the same number of paths or discretization points as the ones used by this BrownianMotion.Returns the time discretization used for this set of time-discrete Brownian increments.
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Method Details
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getIncrement
Return the increment for a given timeIndex. The method returns the random variable vector Δ X(ti) := X(ti+1)-X(ti) for the given time index i.- Parameters:
timeIndex
- The time index (corresponding to the this class's time discretization)- Returns:
- The vector-valued increment (as a vector (array) of random variables).
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getIncrement
Return the increment for a given timeIndex and given factor. The method returns the random variable Δ Xj(ti) := Xj(ti+1)-X(ti) for the given time index i and a given factor (index) j- Parameters:
timeIndex
- The time index (corresponding to the this class's time discretization)factor
- The index of the factor (independent scalar increment)- Returns:
- The factor (component) of the increments (a random variable)
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getTimeDiscretization
TimeDiscretization getTimeDiscretization()Returns the time discretization used for this set of time-discrete Brownian increments.- Returns:
- The time discretization used for this set of time-discrete Brownian increments.
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getNumberOfFactors
int getNumberOfFactors()Returns the number of factors.- Returns:
- The number of factors.
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getNumberOfPaths
int getNumberOfPaths()Returns the number of paths.- Returns:
- The number of paths.
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getRandomVariableForConstant
Returns a random variable which is initialized to a constant, but has exactly the same number of paths or discretization points as the ones used by this BrownianMotion.- Parameters:
value
- The constant value to be used for initialized the random variable.- Returns:
- A new random variable.
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getCloneWithModifiedSeed
Return a new object implementing BrownianMotion having the same specifications as this object but a different seed for the random number generator. This method is useful if you like to make Monte-Carlo samplings by changing the seed.- Parameters:
seed
- New value for the seed.- Returns:
- New object implementing BrownianMotion.
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getCloneWithModifiedTimeDiscretization
IndependentIncrements getCloneWithModifiedTimeDiscretization(TimeDiscretization newTimeDiscretization)Return a new object implementing BrownianMotion having the same specifications as this object but a different time discretization.- Parameters:
newTimeDiscretization
- New time discretization- Returns:
- New object implementing BrownianMotion.
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