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13.565 Articles in journals published by the UPC
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Using robust FPCA to identify outliers in functional time series, with applications to the electricity market

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Vilar, Juan M.
Raña, Paula
Aneiros, Germán
Document typeArticle
Defense date2016-12-19
PublisherInstitut d'Estadística de Catalunya
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
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.
CitationVilar, J. M.; Raña, P.; Aneiros, G. Using robust FPCA to identify outliers in functional time series, with applications to the electricity market. "SORT", 19 Desembre 2016, vol. 1, p. 321-348. 
URIhttp://hdl.handle.net/2117/112748
ISSN1696-2281
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