Question: Denote { a t } t = 1 , 2 , 3 , dots as a sequence of iid random variables with zero mean and

Denote

{a_{t}}_{t} = 1, 2, 3,

dots as a sequence of iid random variables with zero mean and finite variance. For each of the following model, state whether it is weakly stationary.

. Z_{t} = 1 + 0.5 Z_{t - 1} + a_{t},

. Z_{t} = a_{t} - 1.5 a_{t - 1} + 0.5 a_{t - 2}

Denote {at}t=1,2,3,dots as a sequence of iid random variables with zero

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