文章基本信息

标题：Using robust FPCA to identify outliers in functional time series, with applications to the electricity market
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作者：Juan M. Vilar ; Paula Raña ; Germán Aneiros 等
期刊名称：SORT-Statistics and Operations Research Transactions
印刷版ISSN：2013-8830
出版年度：2016
卷号：1
期号：2
页码：321-348
语种：English
出版社：SORT- Statistics and Operations Research Transactions
摘要：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.
关键词：Functional data analysis, functional principal component analysis, functional time series, outlier detection, electricity demand and price