6.16 Use Property P6.6 to complete the following exercises. (a) Write a univariate AR(1) model, yt =

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6.16 Use Property P6.6 to complete the following exercises.

(a) Write a univariate AR(1) model, yt = φyt−1 + vt, in state-space form. Verify your answer is indeed an AR(1).

(b) Repeat

(a) for an MA(1) model, yt = vt + θvt−1.

(c) Write an IMA(1,1) model, yt = yt−1 + vt + θvt−1, in state-space form.

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