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In: Statistics and Probability

Suppose Yt = 1 + 10t + t2 + Xt where {Xt} is a zero-mean stationary...

Suppose Yt = 1 + 10t + t2 + Xt where {Xt} is a zero-mean stationary series with autocovariance function γk. Show that {Yt} is not stationary but that Zt = Wt − Wt−1 where Wt = Yt − Yt−1 is stationary.

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