Consider a moving average MA(3) time series model of {x} of the form xt = et et-1 +0.5et-2 - 0.5et-3 where {e} is a whit

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Consider A Moving Average Ma 3 Time Series Model Of X Of The Form Xt Et Et 1 0 5et 2 0 5et 3 Where E Is A Whit 1 (71.91 KiB) Viewed 32 times

Consider a moving average MA(3) time series model of {x} of the form xt = et et-1 +0.5et-2 - 0.5et-3 where {e} is a white noise series with variance equal to 1. (a) Find the autocovariance of {x} for all lags k ≥ 0. [5] (b) Also write down the autocovariance of {x} for k < 0. [2] (c) Express this MA (3) model in backward operator notation. [1] (d) State the conditions required for the process to be invertible and hence show that this process is not invertible. [4]