Let { X t } be the ARIMA(2,1,0) process satisfying (1 − 0 . 8 B + 0 . 25 B 2 )∇ X t = Z t , { Z t } ∼ WN ( 0 , 1 ). a. Determine the forecast function g(h) = P n X n + h for h > 0. b. Assuming that n...


Let {Xt
} be the ARIMA(2,1,0) process satisfying


(1 − 0.8B+ 0.25B
2)∇Xt
=Zt ,{Zt
} ∼ WN(0,1).


a. Determine the forecast functiong(h)=PnXn

+

h
forh >0.


b. Assuming thatnis large, computeσ
2

n

 (h)forh= 1, . . . ,5.



May 25, 2022
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