Homework#5 (1)

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University of Wisconsin, Madison *

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603

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Statistics

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Apr 3, 2024

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docx

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4

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Homework #5 Problem 1. Please match the models listed below with the ACF and PACF plot of the time series generated from the model. Models: (1) AR(2) (2) MA(3) (3) ARIMA(2,0,1) (4) ARIMA(1,1,1) Plots: (a) MA(3) (b) ARIMA(1,1,1) ARIMA(2,0,1)
(c) AR(2) (d) ARIMA(2,0,1) AR(2) Problem 2. Consider the following models (1) y t = 0.7 y t 1 + 0.6 ε t 1 + ε t (2) ( 1 B ) y t = 0.7 y t 1 0.7 y t 2 + 0.6 ε t 1 + ε t (3) ( 1 B 4 ) y t = 0.7 y t 1 0.7 y t 5 + 0.6 ε t 1 + ε t (a) For each model, re-write the model equation into the form as shown slide #76 using backward shift operator B. (b) If we use notation ARIMA(p,d,q)(P,D,Q) m to represent an ARIMA model, what are the values of p, d, q, P, D, Q, m for the three models?
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