# Fractional Gaussian Noise

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This Demonstration generates a fractional Gaussian noise time series of length with Hurst coefficient , mean 0, and variance 1. The plot shows 100 successive observations at a time. To avoid clutter, only the center is labeled on the horizontal bottom frame. By sliding the "start" bar, you can view successive subsequences.

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Contributed by: Ian McLeod (January 2012)

(University of Western Ontario)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

[1] provides a review of the fractional Gaussian noise and related long-memory time series models.

Reference

[1] K. W. Hipel and A. I. McLeod, *Time Series Modelling of Water Resources and Environmental Systems*, Amsterdam: Elsevier, 1994.

## Permanent Citation