Revistes Publicacions URV: SORT - Statistics and Operations Research Transactions> 2016

Using robust FPCA to identify outliers in functional time series, with applications to the electricity market

  • Datos identificativos

    Identificador: RP:2449
    Handle: http://hdl.handle.net/20.500.11797/RP2449
  • Autores:

    Aneiros, Germán
    Raña, Paula
    Vilar, Juan M.
  • Otros:

    Autor/es de la URV: Aneiros, Germán Raña, Paula Vilar, Juan M.
    Palabras clave: Functional data analysis, functional principal component analysis, functional time series, outlier detection, electricity demand and price
    Resumen: This study proposes two methods for detecting outliers in functional time series. Both methods take dependence in the data into account and are based on robust functional principal component analysis. One method seeks outliers in the series of projections on the first principal component. The other obtains uncontaminated forecasts for each data set and determines that those observations whose residuals have an unusually high norm are considered outliers. A simulation study shows the performance of these proposed procedures and the need to take dependence in the time series into account. Finally, the usefulness of our methodology is illustrated in two real datasets from the electricity market: daily curves of electricity demand and price in mainland Spain, for the year 2012.
    Año de publicación de la revista: 2016
    Tipo de publicación: info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article
  • Palabras clave:

    Functional data analysis, functional principal component analysis, functional time series, outlier detection, electricity demand and price
  • Documentos:

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