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Finance[GammaProcess] - create new Gamma process
Calling Sequence
GammaProcess(mu, sigma)
Parameters
mu
-
real constant; mean parameter
sigma
real constant; variance parameter
Description
The GammaProcess command creates a Gamma process with the specified parameters. The Gamma process with mean parameter mu and variance parameter sigma is a continuous-time process with stationary, independent gamma increments such that for any , has a Gamma distribution with shape parameter and scale parameter .
The parameter mu is the mean. The parameter sigma is the variance.
Compatibility
The Finance[GammaProcess] command was introduced in Maple 15.
For more information on Maple 15 changes, see Updates in Maple 15.
Examples
The variance gamma process, introduced by Madan and Seneta, is the difference of two independent gamma processes representing the up and down movements of the underlying asset.
See Also
Finance[BlackScholesProcess], Finance[CEVProcess], Finance[Diffusion], Finance[Drift], Finance[ExpectedValue], Finance[GeometricBrownianMotion], Finance[ItoProcess], Finance[PathPlot], Finance[SamplePath], Finance[SampleValues], Finance[StochasticProcesses], Finance[WienerProcess]
References
Glasserman, P., Monte Carlo Methods in Financial Engineering. New York: Springer-Verlag, 2004.
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