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Decomposition of time series : ウィキペディア英語版
Decomposition of time series

The decomposition of time series is a statistical method that deconstructs a time series into notional components. There are two principal types of decomposition which are outlined below.
==Decomposition based on rates of change==

This is an important technique for all types of time series analysis, especially for seasonal adjustment. It seeks to construct, from an observed time series, a number of component series (that could be used to reconstruct the original by additions or multiplications) where each of these has a certain characteristic or type of behaviour. For example, time series are usually decomposed into:
*the Trend Component T_t that reflects the long term progression of the series (secular variation)
*the Cyclical Component C_t that describes repeated but non-periodic fluctuations
*the Seasonal Component S_t reflecting seasonality (seasonal variation)
*the Irregular Component I_t (or "noise") that describes random, irregular influences. It represents the residuals of the time series after the other components have been removed.

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