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Mar 8, 2016 at 2:24 vote accept Chee
Mar 8, 2016 at 1:01 comment added Serguei Popov Apart from trivial examples (say, first toss a coin, if heads - then take the above sequence, if tails - take a sequence of independent r.v. for which the SLLN holds), I don't know what to answer.
Mar 6, 2016 at 22:21 comment added Chee thank you for providing this elegant example! Can you please provide another example of dependent Bernoulli's which fails the SLLN on the whole sample space $\Omega$ but for which a SLLN holds on a nonempty subset of $\Omega$ of positive probability measure? Thanks!
Mar 5, 2016 at 16:01 history answered Serguei Popov CC BY-SA 3.0