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on 26-Apr-2015 (Sun)

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Flashcard 150889954

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Live updates,
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BBC - Homepage
itain's rich list Nasdaq and S&P 500 at record highs Comcast ends Time Warner Cable deal Amazon web services 'growing fast' Sport Everton 3-0 Man Utd - reaction <span>Live updates, match photos, plus Radio 5 live reaction and analysis as Everton beat Manchester United in the Premier League. Dundee United 0-3 Celtic London set for 'greatest ever ra







Flashcard 150889959

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

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

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#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, and
  • Wt is the irregular (or random) component.

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

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