REVIEW
Time series analysis,
or the quest for quantitative measures of time dependent behavior
Alfonso
M. Albano1*, Peter D. Brodfuehrer1, Christopher J. Cellucci2, Xenia T. Tigno3,
and Paul E. Rapp2
1Bryn Mawr College, Bryn Mawr, Pennsylvania, USA
2Uniformed Services University, Bethesda, Maryland, USA
3University of South Florida, Tampa, Florida, USA
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ABSTRACT
We review some of the tools used to analyze time series—sequences of measurements
of one or more variables pertaining to the same system. The tools include time-resolved
statistics and spectra; autocorrelations, mutual information and transfer entropy;
complexity, predictability and hypothesis testing. We illustrate the use of
these tools by analyzing extracellular recordings from the leech, vasomotion
data from monkeys, and human electroencephalograms.
*To whom the correspondence
should be addressed. E-mail:aalbano@brynmawr.edu
Received October 21, 2008; Accepted November 1, 2008.
Editor-in-charge: Amador C. Muriel