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Oct 2 at 11:56 comment added TheAmazingKitchen But this positive probability isn't fixed: assuming the WLLN holds, then it's getting smaller as you accumulate more data, right? An example with made up values: while there is a 1% chance that getting 100 more data points is useless, there is only a 0.5% chance that getting 200 more data points is useless. If that's the case, getting more data is still guaranteed to be "useful" (albeit in a different sense) even if the SLLN doesn't hold.
Mar 24, 2010 at 15:27 history answered Yuri Bakhtin CC BY-SA 2.5