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REFINEMENTS TO MODEL SELECTION FOR NONLINEAR TIME SERIES
International Journal of Bifurcation and Chaos, 2003Many models of the dynamics of nonlinear time series have large numbers of parameters and tend to overfit. This paper discusses algorithms for selecting the best basis functions from a dictionary for a model of a time series. Selecting the optimal subset of basis functions is typically an NP-hard problem which usually has to be solved by heuristic ...
Tomomichi Nakamura +2 more
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The Quest for Nonlinearity in Time Series
2012Abstract In this chapter, we review the problem of testing for nonlinearity in time series. First, we discuss the definition and the properties of linear processes and the implications that such properties have on the operational strand. Then, we present and review a tentative classification of the various tests that can be found both in the time ...
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DETECTING NONLINEARITIES IN STATIONARY TIME SERIES
International Journal of Bifurcation and Chaos, 1993In this review we survey methods for detecting nonlinearities in stationary time series. These methods are based on the estimation of so-called correlation integrals. These correlation integrals provide a way of analyzing time series and reveal aspects which are often complementary to the information one obtains from power spectra and autocorrelations.
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Entropy testing for nonlinearity in time series [PDF]
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 ...
GIANNERINI, SIMONE +2 more
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FOR NONLINEARITY IN THE HEARTBEAT TIME SERIES
Cybernetics and Systems, 1997Angelo Di Garbo +5 more
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Nonlinear Causal Discovery in Time Series
Proceedings of the 31st ACM International Conference on Information & Knowledge Management, 2022Tianhao Wu +4 more
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Functional-Coefficient Regression Models for Nonlinear Time Series
Journal of the American Statistical Association, 2000Zongwu Cai, Jianqing Fan, Qiwei Yao
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