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Entropy testing for nonlinearity in time series

Authors: GIANNERINI, SIMONE; E. Maasoumi; DAGUM, ESTELLE BEE;

Entropy testing for nonlinearity in time series

Abstract

In this paper we propose a novel test for the identification of nonlinear dependence in time series. The approach is based on a combination of a test statistic based on an entropy dependence metric, possessing many desirable properties [1], together with a suitable extension of surrogate data methods, a class of Monte Carlo based tests introduced with the aim of building consistent tests for nonlinearity without making distributional assumptions on the test statistics [2]. The use of parametric bootstrap methods is also investigated. In this paper we show how the test can be employed in order to detect the lags at which a significant nonlinear relationship is expected in the same fashion as the autocorrelation function is used for linear processes. The power and size of the test is assessed through simulation studies. [1] Granger C. W., Maasoumi E., and Racine J. (2004) "A dependence metric for possibly nonlinear processes", Journal of Time Series Analysis, 25, 5: 649-669. [2] Schreiber T. and Schmitz A. (2000) "Surrogate time series", Physica D, 142: 346-382.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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