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Topic: Random sequence
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Posts: 20
From: UK
Registered: 1/23/09
Random sequence
Posted: Feb 12, 2013 11:18 AM
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I'd be grateful if someone can throw light on this: the random sequence X_{2^n + y_n}(omega) -> 0 a.s. for any non-random y_n taking the values on {0,1,...,2^n}. Can be concluded that X_{2^n + Y_n(omega)}(omega) -> 0 a.s. for some random variable Y_n(omega) taking values on{0,1,...,2^n}? Thank you very much.

R. Simmons

Note: X_{2^n + y_n}(omega) means that 2^n + y_n is the index of the sequence.

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