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Linear Time Series Models for Stationary data - Feweb

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Practical purpose of linear time series analysis<br />

If yt is stationary, a nearly standard regression interpretation of (7.2)<br />

applies.<br />

We strive to minimize the variance and remove serial correlation in<br />

the “error term”, εt, using parsimonious linear models <strong>for</strong> the<br />

deterministic part and the predictable stochastic part of yt.<br />

Exercise (4): Show that the Durbin-Watson statistic is a consistent<br />

estimator of 2(1 −ρ1), c.f. §5.5.3. Which of the three regression models<br />

above is optimal in this respect using standard regression criteria?<br />

Chapter 7.1 Heij et al, TI Econometrics II 2006/2007 – p. 19/24

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