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Estimating Optimal Transformations for Correlation and Coherence

In: Computing Science and Statistics

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  • Martin R. Young

    (University of Michigan)

Abstract

Coherency is a frequency domain measure of the linear association between two time series X(t) and Y(t). Since association between time series can in general be nonlinear, it may be useful to nonlinearly transform the time series prior to the coherency analysis. A broad class of nonlinear transformations of time series is proposed, and a procedure is described for estimating the transformations in this class which maximize the coherency between the transformed series. An efficient and numerically robust procedure for computing these optimal transformations is described, and the connection between this technique and Breiman and Friedman’s (1985) ACE technique for estimating optimal transformations of random variables is explored.

Suggested Citation

  • Martin R. Young, 1992. "Estimating Optimal Transformations for Correlation and Coherence," Springer Books, in: Connie Page & Raoul LePage (ed.), Computing Science and Statistics, pages 571-575, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4612-2856-1_103
    DOI: 10.1007/978-1-4612-2856-1_103
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