For the MA(1) process X_t=Z_t+0.5Z_{t-1}, where Z_t~WN(0,1), the partial autocorrelation function alpha(1) is A. O B. 0.4 C. 0.5 D. 1 An ARMA(1,1) process is X_t=0.5 X_{t- 1}+Z_t+0.5Z_{t-1}, where Z_t is WN(0,1). If we know the value of gamma(1)=5/3, what is the value of gamma(3) A.5/6 B.5/12 C.5/24 D.5/48 E. NONE OF ABOVE

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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For the MA(1) process X_t=Z_t+0.5Z_{t-1},
where Z_t~WN(0,1), the partial
autocorrelation function alpha(1) is
А. О
В. О.4
C. 0.5
D. 1
An ARMA(1,1) process is X_t=0.5 X_{t-
1}+Z_t+0.5 Z_{t-1}, where Z_t is WN(0,1). If we
know the value of gamma(1)=5/3, what is the
value of gamma(3)
A.5/6
B.5/12
C.5/24
D.5/48
E. NONE OF ABOVE
Transcribed Image Text:For the MA(1) process X_t=Z_t+0.5Z_{t-1}, where Z_t~WN(0,1), the partial autocorrelation function alpha(1) is А. О В. О.4 C. 0.5 D. 1 An ARMA(1,1) process is X_t=0.5 X_{t- 1}+Z_t+0.5 Z_{t-1}, where Z_t is WN(0,1). If we know the value of gamma(1)=5/3, what is the value of gamma(3) A.5/6 B.5/12 C.5/24 D.5/48 E. NONE OF ABOVE
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