Let (Yt) be the moving average process of order 2 (MA(2)) given by Yt = et...

Transcribed Image Text:

Let (Yt) be the moving average process of order 2 (MA(2)) given by Yt = et - 01et-1 - 02et-2, where (et) is WN(0, 1) and 8i, i = 1, 2, are constants (parameters). (a) Verify that (Yt) is weakly stationary. (b) Compute the autocovariance and autocorrelation function. (c) Compute the variance of the sample mean (Y1+ Y2 + Y3+Y4)/4 when 81 = 0.5 and 02 = -2. Let (Yt) be the moving average process of order 2 (MA(2)) given by Yt = et - 01et-1 - 02et-2, where (et) is WN(0, 1) and 8i, i = 1, 2, are constants (parameters). (a) Verify that (Yt) is weakly stationary. (b) Compute the autocovariance and autocorrelation function. (c) Compute the variance of the sample mean (Y1+ Y2 + Y3+Y4)/4 when 81 = 0.5 and 02 = -2.

Answer rating: 100% (QA)

a Weak stationarity requires that the statistical properties of the process such as the mean and aut... View the full answer