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math.PR2007

Explicit bounds for the approximation error in Benford's law

Lutz Duembgen, Christoph Leuenberger

Benford's law states that for many random variables X > 0 its leading digit D = D(X) satisfies approximately the equation P(D = d) = log_{10}(1 + 1/d) for d = 1,2,...,9. This pheno…