In: Statistics and Probability
Consider the following ARMA(1,1) process
(1 − 0.3B)Xt = (1 − 0.2B)Zt where{Zi}∼WN(0,σ^2)withE(Z1)=0andVar(Z1)=σ^2 <∞.
(i) Discuss if the process has a causal stationary solution.
(ii) Find an MA(∞) representation for Xt.
(iii) Find the autocorrelation function for the process {Xt}.