STATISTICAL PROPERTIES OF PHASE SYNCHRONIZATION COEFFICIENT ESTIMATOR
Cite this article as:
Smirnov D. A., Navrotskaya Е. V., Bezruchko B. P. STATISTICAL PROPERTIES OF PHASE SYNCHRONIZATION COEFFICIENT ESTIMATOR. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 2, pp. 111-121. DOI: https://doi.org/10.18500/0869-6632-2008-16-2-111-121
A phase synchronization coefficient estimate, obtained from a time series, can take a high value even for uncoupled oscillators in the case of short signals and close basic frequencies. Since such situations are widespread in practice, it is necessary to detect them to avoid false conclusions about the presence of coupling. We investigate statistical properties of the estimator with the use of an exemplary system – uncoupled phase oscillators. Conditions leading to high probability to get big values of the estimator are determined quantitatively. Based on the performed analysis, we suggest a special technique for surrogate data generation to control statistical significance of the estimation results.
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BibTeX
author = {D. A. Smirnov and Е. V. Navrotskaya and B. P. Bezruchko},
title = {STATISTICAL PROPERTIES OF PHASE SYNCHRONIZATION COEFFICIENT ESTIMATOR},
year = {2008},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {16},number = {2},
url = {https://old-andjournal.sgu.ru/en/articles/statistical-properties-of-phase-synchronization-coefficient-estimator},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2008-16-2-111-121},pages = {111--121},issn = {0869-6632},
keywords = {-},
abstract = {A phase synchronization coefficient estimate, obtained from a time series, can take a high value even for uncoupled oscillators in the case of short signals and close basic frequencies. Since such situations are widespread in practice, it is necessary to detect them to avoid false conclusions about the presence of coupling. We investigate statistical properties of the estimator with the use of an exemplary system – uncoupled phase oscillators. Conditions leading to high probability to get big values of the estimator are determined quantitatively. Based on the performed analysis, we suggest a special technique for surrogate data generation to control statistical significance of the estimation results. }}