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RDP 2018-08: Econometric Perspectives on Economic Measurement
Equation (A3)
plim
V
→
∞
δ
^
W
L
S
=
(
E
[
x
t
v
w
t
v
x
t
v
′
]
)
−
1
E
[
x
t
v
w
t
v
ln
(
p
t
v
)
]
⇒
plim
V
→
∞
δ
^
W
L
S
−
δ
=
(
E
[
x
t
v
w
t
v
x
t
v
′
]
)
−
1
E
[
x
t
v
w
t
v
ε
t
v
]