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Introduction to Local Level Model and Kalman Filter

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Three exercises (cont.)<br />

2. Derive a <strong>Kalman</strong> filter for the local level model<br />

yt = µt + εt, εt ∼ N(0, σ 2 ε), ∆µt+1 = ηt ∼ N(0, σ 2 η),<br />

with E(εtηt) = σεη = 0 <strong>and</strong> E(εtηs) = 0 for all t, s <strong>and</strong> t = s.<br />

Also discuss the problem of missing obervations in this case.<br />

3. Write Ox program(s) that produce all Figures in Ch 2 of DK<br />

except Fig. 2.4. Data:<br />

http://www.ssfpack.com/dkbook.html

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