Consider the following autoregressive process, AR(1): Y = pY-+, where -1
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Consider the following autoregressive process, AR(1): Y = pY-+, where -1
Consider the following autoregressive process, AR(1): Y = pY-+, where -1<p<1 and u, is a white noise process, with E(u,)=0 and var(u,)=0?. Derive the mean, E(Y,), and the variance, var(Y,) of this process. a) Assume that p=1. Derive the mean, E(Y,), and the variance, var(Y,), of this new process. Is the new process stationary? Explain. b) Explain in detail how you would test for the presence of unit root. c) What is the meaning of cointegration in time series? Explain in detail.
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