Clark, Todd E.; McCracken, Michael W. - Federal Reserve Board (Board of Governors of the … - 2007
homoskedastic errors, etc.):
y
t+1
= β
0
+
β
1
√
T
x
t
+ u
t+1
, E(x
t
u
t+1
) = 0, E(u
2
t+1
) = σ
2
. (1)
In light of x’s weak …).
Assumption 3: (a) T
−1
summationtext
[rT]
j=1
U
T,j
U
prime
T,j−l
⇒ rΩ
l
whereΩ
l
= lim
T→∞
T
−1
summationtext
T
t=1
E(U
T,j
U …
prime
T,j−l
)
for all l ≥ 0, (b) Ω
11,l
= 0 all l ≥ τ, (c) sup
T−P+1≥1,s≤T
E|U
T,s
|
2q
< ∞ for some q > 1, (d)
U
T,j
−EU
T …