- #1
kingwinner
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Homework Statement
"Almost sure convergence" always implies "convergence in probability", but the converse is NOT true.
Thus, there exists a sequence of random variables Yn such that Yn->0 in probability, but Yn does not converge to 0 almost surely.
Homework Equations
N/A
The Attempt at a Solution
I think this is possible if the Y's are independent, but still I can't think of an concrete example. What is of example of this happening?
Any help is appreciated! :)