Unformatted text preview: a is a parameter. (a) For what values of real number a , the process is stationary? (b) What is the autocorrelation of the process at lag k , i.e., ρ ( k )? ( k ≥ 0). (c) What are the 1step and 2step ahead forecasts of the process at forecast origin x n ? 4. Consider the stationary process x t + φx t1 = z tθz t1 . (a) What are the stationarity and invertbility conditions for x t ? (b) Compute the lag1 and lag2 autocorrelations ρ (1) and ρ (2). (c) Given the observations y 1 ,...,y n , what are the 1 and 2step ahead forecast of y at the forecast origin y n ?...
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 Fall '09
 Probability theory, Autocorrelation, Stationary process, process Xt, stationary process Xt

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