Statistics Graduate Level Quiz
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CONVERGENCE & LIMIT THEOREMS
Question 1
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If
X
n
→
X
X_n \to X
X
n
→
X
in
L
p
L^p
L
p
on any measure space, which is forced?
A
Convergence in measure
B
Almost sure convergence
C
Convergence in
L
q
L^q
L
q
,
q
>
p
q>p
q
>
p
D
Convergence in
L
r
L^r
L
r
,
r
<
p
r<p
r
<
p
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