lmm comments on Open thread, Oct. 13 - Oct. 19, 2014 - Less Wrong Discussion
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The whole point of Bayesianism is that you get as much information as possible from a small amount of data. It works perfectly well in noisy domains.
The recent post on Knightian Uncertainty may or may not be relevant to your interests - it's not the same thing but it seems like it might be related to what you were really getting at.