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Smoothing a Time Series by Segments of the Data Range

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  • Victor M. Guerrero
  • Eliud Silva

Abstract

We consider the problem of estimating a trend with different amounts of smoothness for segments of a time series subjected to different variability regimes. We propose using an unobserved components model to consider the existence of at least two data segments. We first fix some desired percentages of smoothness for the trend segments and deduce the corresponding smoothing parameters involved. Once the size of each segment is chosen, the smoothing formulas here derived produce trend estimates for all segments with the desired smoothness as well as their corresponding estimated variances. Empirical examples from demography and economics illustrate our proposal.

Suggested Citation

  • Victor M. Guerrero & Eliud Silva, 2015. "Smoothing a Time Series by Segments of the Data Range," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(21), pages 4568-4585, November.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:21:p:4568-4585
    DOI: 10.1080/03610926.2014.901372
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