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RSimmons
Posts:
20
From:
UK
Registered:
1/23/09


Random sequence
Posted:
Feb 12, 2013 11:18 AM


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 nonrandom 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.



