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Unformatted text preview: + ) / (1 + 2 + ) k = ( k-1) ,k = 2 , 3 ,... 6. For the model (1-B )(1-. 2 B ) X t = (1-. 5 B ) t : (a) Classify the model as an ARIMA(p,d,q) process (i.e. nd p,d,q) (b) Determine whether the process is stationary 7. Show that the AR(2) process X t = X t-1 + cX t-2 + t is stationary provided-1 < c < 0. 1 (a) Find the autocorrelation function when c =-3 / 16. (b) Show that the AR(3) process X t = X t-1 + cX t-2-cX t-3 + t is non-stationary for all values of c . 8. Consider X t to follow a SARIMA (seasonal ARIMA) model of order (1 , , 0) (0 , 1 , 1) 12 . (a) Write out the model in B notation (b) Expand this equation, and write the model in terms of X t and t . 2...
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This note was uploaded on 10/19/2009 for the course MATH 611 taught by Professor Jsdkasj during the Spring '09 term at Kansas.
- Spring '09