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Time Series Analysis - 2.ipynb

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"## Moving Average Models - MA(q)\n",
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"MA(q) models are very similar to AR(p) models. MA(q) model is a linear combination of past white noise error terms as opposed to a linear combination of past observations like the AR(p) model. The motivation for the MA model is that we can observe \"shocks\" in the error process directly by fitting a model to the error terms. In an AR(p) model these shocks are observed indirectly by using the ACF on the series of past observations. \n",
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"MA(q) models are very similar to AR(p) models. MA(q) model is a linear combination of past error terms as opposed to a linear combination of past observations like the AR(p) model. The motivation for the MA model is that we can explain \"shocks\" in the error process directly by fitting a model to the error terms. (In an AR(p) model these shocks are observed indirectly by using past observations) \n",
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"$$x_t=w_t+\\beta_1w_{t-1}+…+\\beta_qw_{t-q}$$ \n",
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