Bivariate surrogate techniques: necessity, strengths, and caveats

The concept of surrogates allows testing results from time series analysis against specified null hypotheses. In application to bivariate model dynamics we here compare different types of surrogates, each designed to test against a different null hypothesis, e.g., an underlying bivariate linear stoc...

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Detalhes bibliográficos
Autores: Andrzejak, Ralph Gregor, Kraskov, Alexander, Stögbauer, Harald, Mormann, Florian, Kreuz, Thomas
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2003
País:España
Recursos:Universitat Pompeu Fabra
Repositorio:Repositorio Digital de la UPF
OAI Identifier:oai:repositori.upf.edu:10230/43634
Acesso em linha:http://hdl.handle.net/10230/43634
http://dx.doi.org/10.1103/PhysRevE.68.066202
Access Level:acceso abierto
Palavra-chave:Nonlinear signal analysis
Synchronization
Surrogates
Descrição
Resumo:The concept of surrogates allows testing results from time series analysis against specified null hypotheses. In application to bivariate model dynamics we here compare different types of surrogates, each designed to test against a different null hypothesis, e.g., an underlying bivariate linear stochastic process. Two measures that aim at a characterization of interdependence between nonlinear deterministic dynamics were used as discriminating statistics. We analyze eight different stochastic and deterministic models not only to demonstrate the power of the surrogates, but also to reveal some pitfalls and limitations.