1. (10 points) Consider the following time series where It is quarterly data in each and N(0,1) is Gaussian white noise.
Posted: Fri Apr 29, 2022 11:41 am
I need help showing how to use the back-shift operator to get to
the final answer
1. (10 points) Consider the following time series where It is quarterly data in each and N(0,1) is Gaussian white noise. Wt ~ = 7 -1 (a) xt = :.4xt-1 + .1xt-2 – 2xt-3 + Wt (b) Xt = W+Vht, where ht = .2+.5xZ-1 +.4hz-1 +.15h7-2 (c) (1+.3B)(1 – B4)2x+ = (1 – .25B4 +.138)(1+.4B – .2B2)wt (d) xt = .1xt-1 - .05xt-2 + w+ +.3wt-1 (e) Vx+ = V2wt, where V is the usual difference operator t - For each model, specify the correct order as well as the correct model name. For example, you might give an answer like AR(1) or ARMA(2, 2).
the final answer
1. (10 points) Consider the following time series where It is quarterly data in each and N(0,1) is Gaussian white noise. Wt ~ = 7 -1 (a) xt = :.4xt-1 + .1xt-2 – 2xt-3 + Wt (b) Xt = W+Vht, where ht = .2+.5xZ-1 +.4hz-1 +.15h7-2 (c) (1+.3B)(1 – B4)2x+ = (1 – .25B4 +.138)(1+.4B – .2B2)wt (d) xt = .1xt-1 - .05xt-2 + w+ +.3wt-1 (e) Vx+ = V2wt, where V is the usual difference operator t - For each model, specify the correct order as well as the correct model name. For example, you might give an answer like AR(1) or ARMA(2, 2).