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Multivariate analysis of dynamical processes

Point processes and time series

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Abstract

The analysis of multi-dimensional biomedical systems requires analysis techniques, which are able to deal with multivariate data consisting of both time series as well as point processes. Univariate and bivariate analysis techniques in the frequency domain for time series and point processes are established and investigated, although the number of investigations is strongly biased towards time series. Actual multivariate techniques for time series or hybrids of time series and point processes are scarcely addressed. Here, we present spectral analysis techniques which are able to analyse point processes as well as time series. Thereby, univariate, bivariate as well as multivariate techniques are discussed. Applications to simulated as well as real-world data reveal the abilities of the proposed techniques.

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References

  • B. Schelter, M. Winterhalder, B. Hellwig, B. Guschlbauer, C.H. Lücking, J. Timmer, J. Physiol. 99, 37 (2006)

    Google Scholar 

  • R. Dahlhaus, Metrika 51, 157 (2000)

  • D.R. Brillinger, Time Series: Data Analysis and Theory (Holden-Day, Inc., San Francisco, 1981)

  • P.J. Brockwell, R.A. Davis, Time Series: Theory and Methods (Springer, New York, 1991)

  • A.S. French, A.V. Holden, Kybernetik 8, 165 (1971)

  • D.M. Halliday, J.R. Rosenberg, A.M. Amjad, P. Breeze, B.A. Conway, S.F. Farmer, Prog. Biophys. Molec. Biol. 64, 237 (1995)

    Google Scholar 

  • D.R. Brillinger, The Spectral Analysis of Stationary Interval Functions, edited by L.M. LeCam, J. Neyman, E. Scott, Proceedings 6th Berkeley Symposium Mathematics Statistics Probability (1972), p. 483

  • M.B. Priestley, Spectral Analysis and Time Series (Academic Press, London, 1989)

  • P. Bloomfield, Fourier Analysis of Time Series: An Introduction (John Wiley & Sons, New York, 1976)

  • L.A. Baccala, K. Sameshima, Biol. Cybern. 84, 463 (2001)

    Google Scholar 

  • K. Sameshima, L.A. Baccala, J. Neurosci. Meth. 94, 93 (1999)

    Google Scholar 

  • B. Schelter, M. Eichler, J. Timmer (submitted)

  • R.Q. Quiroga, Z. Nadasdy, Neural Comput. 16, 1661 (2004)

    Google Scholar 

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Authors and Affiliations

  1. FDM, Freiburg Center for Data Analysis and Modeling, University of Freiburg, Eckerstr. 1, 79104, Freiburg, Germany

    K. Henschel, M. Jachan, J. Timmer & B. Schelter

  2. Bernstein Center for Computational Neuroscience, Hansastr. 9A, 79104, Freiburg, Germany

    K. Henschel & J. Timmer

  3. Neurology Department, University Hospital of Freiburg, Breisacherstr. 64, 79110, Freiburg, Germany

    B. Hellwig, F. Amtage, J. Vesper & C. H. Lücking

Authors
  1. K. Henschel
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  2. B. Hellwig
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  3. F. Amtage
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  4. J. Vesper
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  5. M. Jachan
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  6. C. H. Lücking
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  7. J. Timmer
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  8. B. Schelter
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Correspondence to K. Henschel.

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Henschel, K., Hellwig, B., Amtage, F. et al. Multivariate analysis of dynamical processes. Eur. Phys. J. Spec. Top. 165, 25–34 (2008). https://doi.org/10.1140/epjst/e2008-00846-0

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  • DOI: https://doi.org/10.1140/epjst/e2008-00846-0

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