This is the first part of a two-part paper in which the related topics of spectral analysis and the identification and estimation of distributed-lag models between time series are discussed. In this paper, the theoretical background of spectral and cross-spectral analysis is discussed in some depth, since in the estimation of the spectrum and cross-spectrum a number of important decisions must be made for which no hard-and-fast rules are available, and which necessitate some theoretical knowledge. Empirical examples of the use of spectral and cross-spectral analysis are presented from a study of local unemployment in the Severnside region.
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