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Benford's law is obtained as maximum entropy distribution of balls in boxes under the assumption that the number of balls in a box can be 1,2,3....9.
For derivation see Oded Kafri "entropy principle in direct derivation of Benford's law" at arxive (2009) .
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Benford's Law is a mathematical principle that states a specific distribution of the first digits in numerical datasets. It predicts that the digit "1" will occur as the first digit more frequently than other digits in various real-life data sets. This phenomenon is often used to detect anomalies or fraud in financial or accounting data.
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