Prediction in the serially correlated error component model. For the BLU predictor of (y_{i, T+1}) given in
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Prediction in the serially correlated error component model. For the BLU predictor of \(y_{i, T+1}\) given in (5.25), show that when \(v_{i t}\) follows
(a) the AR(1) process, the GLS predictor is corrected by the term in (5.26);
(b) the AR(2) process, the GLS predictor is corrected by the term given in (5.27);
(c) the specialized AR(4) process, the GLS predictor is corrected by the term given in (5.28);
(d) the MA(1) process, the GLS predictor is corrected by the term given in (5.29).
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