Observation data {X_1,...,Xn} give the sample partial autocorrelation function values alpha(1)=0.9, alpha(2)=0.5, alpha(3)=-0.1, alpha(4)=0.2, alpha(5)=0.1. Based on these values, what is the appropriate order p of the autoregressive process AR(p) to model this dataset? A 2 B 3 C 4 D 5

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Observation data {X_1,...,Xn} give the sample partial autocorrelation function values alpha(1)=0.9, alpha(2)=0.5,
alpha(3)=-0.1, alpha(4)=0.2, alpha(5)=0.1. Based on these values, what is the appropriate order p of the
autoregressive process AR(p) to model this dataset?
A 2
с 4
D
For process X_n=2X_{n-1}-X_{n=2}+Z_n, where Z_n is white noise, which statement is true?
A The process is stationary
В
After difference, the process is stationary
C
After the second difference, the process is stationary
D
None of the above
Transcribed Image Text:Observation data {X_1,...,Xn} give the sample partial autocorrelation function values alpha(1)=0.9, alpha(2)=0.5, alpha(3)=-0.1, alpha(4)=0.2, alpha(5)=0.1. Based on these values, what is the appropriate order p of the autoregressive process AR(p) to model this dataset? A 2 с 4 D For process X_n=2X_{n-1}-X_{n=2}+Z_n, where Z_n is white noise, which statement is true? A The process is stationary В After difference, the process is stationary C After the second difference, the process is stationary D None of the above
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