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PhilGoetz comments on Open Thread: March 2010, part 2 - Less Wrong
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What's the similar problem? "1-d, with p(x) = x)" doesn't mean much to me. It sounds like you're looking for bins on the region 1 to d, with p(x) = x. I think that if you used the plogp -qlogq entropy, it would work fine.
"1-d", meaning one-dimensional. n bins between 0 and 1, samples drawn uniformly in the space X = [0,1], with probability p(x) = x of being considered the same.