Outlier identification and adjustment for time series

Markus Fröhlich
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Abstract

Identification and replacement of erroneous data is of fundamental importance for the quality of statistical surveys. If statistical units are continuously sampled over an extended period, time series methods can facilitate this task. Numerous outlier identification and replacement procedures are accessible for this particular purpose, like RegArima Approaches within the seasonal adjustment procedures in X13-Arima or Tramo/Seats. These algorithms can be used to identify different types of outliers, like additive outliers, level shifts or transitory changes. In this paper an alternative outlier identification procedure is proposed which is based on a nonlinear model estimated with support vector regressions. The focus of this procedure is on the identification of additive outliers and on the applicability for short time series with less than 3 years of observations.
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时间序列的离群值识别与调整
识别和替换错误数据对统计调查的质量至关重要。如果统计单位在一个较长的时期内连续采样,时间序列方法可以帮助完成这项任务。许多离群值识别和替换程序都可用于这一特定目的,如 X13-Arima 或 Tramo/Seats 中季节调整程序中的 RegArima 方法。这些算法可用于识别不同类型的离群值,如加法离群值、水平移动或短暂变化。本文提出了另一种离群值识别程序,该程序以支持向量回归估算的非线性模型为基础。该程序的重点是识别加性离群值,并适用于观测时间少于 3 年的短期时间序列。
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