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Find the values of a for which the following ARMA process is causal and invertible (Z(t) is white noise): X(t)=2aX(t-1)+aX(t-2)+Z(t)+aZ(t-1)+2aZ(t-2)?

Find the values of a for which the following ARMA process is causal and invertible (Z(t) is white noise): X(t)=2aX(t-1)+aX(t-2)+Z(t)+aZ(t-1)+2aZ(t-2)?

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