Let Z1, Z2,... be i.i.d. N (0, 1). For each of the time series defined below, random variables, decide if the series is (weakly) stationary. 2nt Y. = cos + Zt = cos (ZŁ) We =t· Z V = E cos (Z:) i=1 t+5 t-i Ut = cos (Z;) i=t-5 t-i Qt cos (Z;) i=1

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Let Z1, Z2,... be i.i.d. N (0, 1).
For each of the time series defined below, random variables, decide if the series is (weakly) stationary.
(23)
2nt
Y, = cos
7
+ Z¢
Xị
= cos (Z)
Wt = t· Zt
V =
cos (Z;)
i=1
t+5
t-i
U; = E (;)
cos (Z;)
i=t-5
t-i
Qt
cos (Z;)
i=1
Transcribed Image Text:Let Z1, Z2,... be i.i.d. N (0, 1). For each of the time series defined below, random variables, decide if the series is (weakly) stationary. (23) 2nt Y, = cos 7 + Z¢ Xị = cos (Z) Wt = t· Zt V = cos (Z;) i=1 t+5 t-i U; = E (;) cos (Z;) i=t-5 t-i Qt cos (Z;) i=1
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