Time Series Decomposition

A time series decomposition is a mathematical procedure which transform a original time series into 3 sub-time series.

Seasonal: Patterns which repeat with fixed period of time. User page visits to a website increases in the weekends, so a seasonality of 7 days is observed.

Trend: Underlying trend of metrics like User page visit count.

Random: Residual of time series after allocation into seasonal and trends time series.

There are two types of decomposition: Additive and Multiplicative. They have to be chosen correctly for successful decomposition.

Additive: The magnitude of seasonality remains constant when time series increases.

Time series = Seasonal + Trend + Random
additive-model

Multiplicative: The magnitude of seasonality varies constantly with time series.

Time series = Trend * Seasonal *Random
multiplicative-model

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