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Determine which of the following ARMA processes are causal and which are invertible. In each case,w t denotes white noise with mean 0 and variance

Determine which of the following ARMA processes are causal and which are invertible. In each case,w_tdenotes white noise with mean 0 and variance 1.

(a)x_t=0.2x_t1+ 0.48x_t2+w_t

(b)x_t=1.9x_t10.88x_t2+w_t+ 0.2w_t1+ 0.7w_t2

(c)x_t=0.6x_t1+w_t+ 1.2w_t1

(d)x_t=1.8x_t10.81x_t2+w_t

(e)xt=1.6x_t1+w_t0.4w_t1+ 0.04w_t2

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