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Feb 7, 2014 at 18:14 comment added Michael Hardy Did the problem you're studying specify a particular probability distribution?
Jan 8, 2014 at 15:06 comment added Adrien Yes, it's exactly the same ideas.
Jan 8, 2014 at 14:56 answer added Adrien timeline score: 1
Jan 8, 2014 at 14:55 comment added mike I think it's the neyman-pearson lemma, mutatis mutandis
Jan 8, 2014 at 7:53 comment added Mark Meckes This exact problem is not standard, as far as I know, but it is of similar character to general "isoperimetric-type" problems for probability measures. It certainly makes sense to consider it. It's hard to say much without being more specific about your probability measure, but in general it would probably be more tractable to reformulate the problem as maximizing the probability of a set with given volume.
Jan 7, 2014 at 9:42 review First posts
Jan 7, 2014 at 9:53
Jan 7, 2014 at 9:26 history asked user45183 CC BY-SA 3.0