Mathematics > Statistics Theory
[Submitted on 13 Jul 2024
(v1)
, last revised 6 Aug 2024 (this version, v2)]
Title: A concise proof of Benford's law
Title: 本福特定律的简明证明
Abstract: This article presents a concise proof of the famous Benford's law when the distribution has a Riemann integrable probability density function and provides a criterion to judge whether a distribution obeys the law. The proof is intuitive and elegant, accessible to anyone with basic knowledge of calculus, revealing that the law originates from the basic property of the human number system. The criterion can bring great convenience to the field of fraud detection.
Submission history
From: Bo-Qiang Ma [view email][v1] Sat, 13 Jul 2024 06:59:02 UTC (252 KB)
[v2] Tue, 6 Aug 2024 01:16:31 UTC (252 KB)
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