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Pierce, Grupe, and Cleveland (1984) introduced a fixed regression approach to the problem of seasonal adjustment for weekly time series. Cleveland (1993) expanded this approach by adding locally-weighted regressions to allow for varying seasonal factors, and the Bureau of Labor Statistics...
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In this note we explore the following surprising fact: In regression with trend and seasonality, the prediction risk is constant for all seasons of a new cycle, despite the fact that it increases with time when the seasons are left out. Awareness of this may be useful to both the practicing...
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