On Surrogate Data Testing for Linearity based on the Periodogram

Details On Surrogate Data Testing for Linearity based on the Periodogram On Surrogate Data Testing for Linearity based on the Periodogram

1995-09-11

arxiv.org/abs/comp-gas/9509003v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

Latex, 19 pages, 3 tarred, compressed and uuencoded eps figures, submitted to Physica D

Scientific paper

The method of surrogate data is a tool to test whether data were generated by some class of model. Tests based on the periodogram have been proposed to decide if linear systems driven by Gaussian noise could have generated a sample time series. We show that this procedure based on the periodogram, in general, misspecifies the test statistic. Based on the theory of linear systems we suggest an alternative procedure to obtain the correct distribution of the test statistic and discuss problems of this approach.

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