تم الحل ✓
categoryإحصاء
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
Question 2:
A. Using a sample of size 1,000 from a stationary time series, the following estimates of
autocovariance and partial autocorrelation functions were computed: [10]
Lag
ACF
0
1
2
3
4
5
6
7
0.596
PACF
1
-0.276
-0.463 -0.325 -0.058
-0.024
0.011
0.027
-0.008
-0.044
-0.028
-0.045
-0.122
B.
Based on the above estimates, choose between the model classes AR(p) and MA(q) for this data,
and suggest a suitable model order p or q. Justify your answers. Can you estimate the model
parameters
For the following two time series plot and corresponding ACF and PACF plots below,
determine the orders p and q of a tentative ARMA( p, q) model that can be used for this data
[10]
10-
08-
06-
04-
02-
0.0-
-08-
-0.8-
-10-
90 106 120 136 160
25 30 36
Timme
02.
-08-
-1.0-
90 106 120 135 150
Time
6
C. Determine whether the following AR processes are stationary [10]
Z₁ = 20 +0.752.1+ a
ze 50+0.2z-1-0.42-2+ at
2-10+0.3z-1+0.5z+-2+ a
02-
1.0-
0.8-
Lag
25 30 35
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