1. [30 pts! Let Yǐ follow a moving average process of order 1 (ie, MA(1): where e is a white noise process with N(0,1). Suppose that you estimate the model using STATA. You obtain ê-1, ê-0.5 and ớ2-1...
. Consider a moving average MA(2) model: y(t) = e(t)+b, e(t-1) +b,elt - 2) Assume that the noise e(t) has is i.i.d. with variance o = 1. (a) Compute the autocorrelation process r(k) for y(t).
1. Consider a moving average MA(2) model: y(t) = e(t) +belt-1) + b,elt-2) Assume that the noise e(t) has is i.i.d. with variance = 1. (a) Compute the autocorrelation process r(k) for y(t). (b) Compute the PSD of y(t). (Hint: 12.4 +e=24 = 2 cos(24)) (c) Plot the spectral density from part (b) for at least FOUR different combinations of (b1,b2), where b and b take either positive or negative values. (d) Comment on where the peaks of the PSD...