A periodogram-based metric for time series classification

  • Authors:
  • Jorge Caiado;Nuno Crato;Daniel Peña

  • Affiliations:
  • Centro de Matemática Aplicada í Previsão e Decisão Económica, Rua do Quelhas 6, 1200-781 Lisboa, Portugal and Department of Economics and Management, Escola Superior de Ci ...;Centro de Matemática Aplicada í Previsão e Decisão Económica, Rua do Quelhas 6, 1200-781 Lisboa, Portugal and Department of Mathematics, Instituto Superior de Economia e G ...;Department of Statistics, Universidad Carlos III de Madrid, Calle Madrid 126, 28903 Getafe, Spain

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 2006

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Abstract

The statistical discrimination and clustering literature has studied the problem of identifying similarities in time series data. Some studies use non-parametric approaches for splitting a set of time series into clusters by looking at their Euclidean distances in the space of points. A new measure of distance between time series based on the normalized periodogram is proposed. Simulation results comparing this measure with others parametric and non-parametric metrics are provided. In particular, the classification of time series as stationary or as non-stationary is discussed. The use of both hierarchical and non-hierarchical clustering algorithms is considered. An illustrative example with economic time series data is also presented.