fbmSim: Simulate a discrete fractional Brownian motion

Description Usage Arguments Value Note References Examples

Description

fbmSim simulates a fractional Brownian motion using the Levinson's method.

Usage

1
fbmSim(n, H)

Arguments

n

Length of the time series.

H

Hurst exponent.

Value

A numeric vector containing the simulated time series.

Note

The code of the fbmSim is largelly based on the implementation provided in the Coeurjolly article (see references).

References

Jean-Francois, Coeurjolly. "Simulation and Identification of the Fractional Brownian Motion: A bibliographical and comparative study." (2007).

Examples

1
2
3
# simulate a dfbm process with H=0.2 and plot it
z = fbmSim(100, 0.2)
ts.plot(z)

citiususc/fracdet documentation built on May 13, 2019, 7:30 p.m.