# on 26-Apr-2015 (Sun)

#### Flashcard 150889954

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#### Flashcard 150889959

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#### Annotation 150890112

 #m249 #mathematics #statistics #time-series three components of time series were introduced: the trend component, the seasonal (or cyclic) component, and the irregular component.

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#### Annotation 150890118

 #m249 #mathematics #statistics #time-series The seasonal component values are called the seasonal factors.

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#### Annotation 150890125

 #m249 #mathematics #statistics #time-series The seasonal factors of a time series sum to zero over one year:

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#### Annotation 150890129

 #m249 #mathematics #statistics #time-series The additive decomposition model for a time series Xt is Xt = mt + st + Wt ,t =1, 2,..., where mt is the trend component,st is the seasonal component of period T, andWt is the irregular (or random) component.

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#### Annotation 150890139

 #m249 #mathematics #statistics #time-series The additive decomposition model: The seasonal component satisﬁes: st = st+T for all t,​s1 + ···+ sT =0.

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#### Annotation 150890152

 #m249 #mathematics #statistics #time-series The additive decomposition model: The irregular component Wt has mean 0 and variance σ2