Components and Decomposition — Trend, Seasonality, and Noise
Almost every time series, however complicated it looks, is a combination of a few simple components: a long-term trend, repeating seasonal cycles, and irregular noise. Decomposition is the act of pulling them apart — and it's the single most clarifying thing you can do with a time series, because once you see the components, both understanding and forecasting become far easier. This post is about the anatomy of a time series.
Almost every series is trend + seasonality + noise (or their product). Decomposition pulls them apart — the single most clarifying thing you can do — revealing what you're predicting, how predictable it is (signal-to-noise), how to transform it, and which method fits. The foundation under every forecasting method.