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A comment on Benford's Law. Parent comment

Re:Benford's Law by BenoitEssiambre on Sunday February 16, 2020 @08:35AM (#22341469)
Of course there is. It's an improper prior (doesn't sum up to one), see link above. Theoretically the Gaussian is only maximum entropy given a mean and stddev. An infinite uniform is maxent without any knowledge of mean and stddev.

In practice though you can use a wide Gaussian if it is more mathematically convenient and get about the same results.

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Re:Benford's Law by hyperbovine on Sunday February 16, 2020 @03:57PM (#22343709)
The entropy of any improper prior diverges. There is no point in arguing over which one maximizes entropy; they all do, vacuously. Max entropy is not useful for discriminating amongst probability distributions unless you require them to actually be probability distributions.
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