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Sep 9, 2017 at 23:17 vote accept cd98
Sep 8, 2017 at 17:54 comment added eric_kernfeld Yes, that's correct: it happens event by event, and if you specify any reasonable idea of total error, it will converge because of the pointwise (event-wise) convergence of the estimates. Theoretically, it helps that your state space is finite. My reference of choice is to the multivariate law of large numbers: stat.umn.edu/geyer/5101/notes/n2.pdf
Sep 8, 2017 at 17:16 history bounty ended CommunityBot
Sep 5, 2017 at 16:51 comment added cd98 Thanks for your answer. If I understand you correctly, the convergence happens event by event? I thought there would be some convergence in distribution idea. Since the random variable here is discrete, I guess approximating by Event is the same as converging to the full probability distribution, right? (If you can add a reference for this, I'll accept your question) I thought about calculating things exactly, but the sample space was so huge that it wasn't possible.
Sep 2, 2017 at 11:26 history answered eric_kernfeld CC BY-SA 3.0