Q4. (*) Let W be a Brownian motion without drift. Find the distribution for the following limits: n-1 lim g(t,)(W(t+1) - W(t,)), n-1 lim w(t,)(g(t+1)-9(t,)), in terms of the integrals of the non-stochastic and integrable function g

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Chapter2: Second-order Linear Odes
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Q4. (*) Let W be a Brownian motion without drift. Find the distribution for the following limits:
n-1
Eg(t,)(W(t+1)- W(t;)),
j-0
n-1
lim w(t,)(g(t+1)-9(t,)),
in terms of the integrals of the non-stochastic and integrable function g
Transcribed Image Text:Q4. (*) Let W be a Brownian motion without drift. Find the distribution for the following limits: n-1 Eg(t,)(W(t+1)- W(t;)), j-0 n-1 lim w(t,)(g(t+1)-9(t,)), in terms of the integrals of the non-stochastic and integrable function g
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