Correlation dimension: A pivotal statistic for non-constrained realizations of composite hypotheses in surrogate data analysis

DOI10.1016/S0167-2789(98)00088-8zbMath0956.62004OpenAlexW2156759788MaRDI QIDQ1964247

Michael Small, Kevin Judd

Publication date: 6 February 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00088-8

zbMATH Keywords

correlation dimensionelectrocardiogramsurrogate data analysisinfant respiratory patternsnonlinear surrogates

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10)

Related Items (8)

Surrogate data for hypothesis testing of physical systems ⋮ A wavelet-based method for surrogate data generation ⋮ Risk reduction for nonlinear prediction and its application to the surrogate data test ⋮ Deterministic nonlinearity in ventricular fibrillation ⋮ ESTIMATING ERROR GROWTH AND SHADOW BEHAVIOR IN NONLINEAR DYNAMICAL SYSTEMS ⋮ Testing for Linear and Nonlinear Gaussian Processes in Nonstationary Time Series ⋮ Applying the method of surrogate data to cyclic time series ⋮ Constrained Markov order surrogates

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• On selecting models for nonlinear time series
• Constrained-realization Monte-Carlo method for hypothesis testing
• Comparisons of new nonlinear modeling techniques with applications to infant respiration.
• DETECTING NONLINEARITIES IN STATIONARY TIME SERIES

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