We compare time series of electroencephalograms (EEGs) from healthy volunteers with EEGs from subjects diagnosed with epilepsy. The EEG time series from the healthy group are recorded during awake state with their eyes open and eyes closed, and the records from subjects with epilepsy are taken from three different recording regions of pre-surgical diagnosis: hippocampal, epileptogenic and seizure zone. The comparisons for these 5 categories are in terms of deviations from linear time series models with constant variance Gaussian white noise error inputs. One feature investigated is directionality, and how this can be modelled by either non-linear threshold autoregressive models or non-Gaussian errors. A second feature is volatility, which is modelled by Generalized AutoRegressive Conditional Heteroskedasticity (GARCH) processes. Other features include the proportion of variability accounted for by time series models, and the skewness and the kurtosis of the residuals. The results suggest these comparisons may have diagnostic potential for epilepsy and provide early warning of seizures.
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2 June 2016
INNOVATIONS THROUGH MATHEMATICAL AND STATISTICAL RESEARCH: Proceedings of the 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016)
26–28 January 2016
Kuala Lumpur, Malaysia
Research Article|
June 02 2016
Directionality volatility in electroencephalogram time series Available to Purchase
Mahayaudin M. Mansor;
Mahayaudin M. Mansor
a)
School of Mathematical Sciences, Level 6 & 7, Ingkarni Wardli Building, North Terrace Campus,
The University of Adelaide
, SA 5005, Australia
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David A. Green;
David A. Green
b)
School of Mathematical Sciences, Level 6 & 7, Ingkarni Wardli Building, North Terrace Campus,
The University of Adelaide
, SA 5005, Australia
Search for other works by this author on:
Andrew V. Metcalfe
Andrew V. Metcalfe
c)
School of Mathematical Sciences, Level 6 & 7, Ingkarni Wardli Building, North Terrace Campus,
The University of Adelaide
, SA 5005, Australia
Search for other works by this author on:
Mahayaudin M. Mansor
a)
School of Mathematical Sciences, Level 6 & 7, Ingkarni Wardli Building, North Terrace Campus,
The University of Adelaide
, SA 5005, Australia
David A. Green
b)
School of Mathematical Sciences, Level 6 & 7, Ingkarni Wardli Building, North Terrace Campus,
The University of Adelaide
, SA 5005, Australia
Andrew V. Metcalfe
c)
School of Mathematical Sciences, Level 6 & 7, Ingkarni Wardli Building, North Terrace Campus,
The University of Adelaide
, SA 5005, Australia
AIP Conf. Proc. 1739, 020080 (2016)
Citation
Mahayaudin M. Mansor, David A. Green, Andrew V. Metcalfe; Directionality volatility in electroencephalogram time series. AIP Conf. Proc. 2 June 2016; 1739 (1): 020080. https://doi.org/10.1063/1.4952560
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