=+(ii) Suppose that E(|W0| q) < for some q > 4. Use the above ergodic theorem
Question:
=+(ii) Suppose that E(|W0|
q) < ∞ for some q > 4. Use the above ergodic theorem and the facts in (i) to argue that lim sup
|n|→∞
1
|n|
t
¯≤n
|Wt|
4p < ∞ a.s.
for some p > 1.
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