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....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 human number system.The criterion can bring great convenience to the field of fraud detection.展开更多
基金National Natural Science Foundation of China(12075003).
文摘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 human number system.The criterion can bring great convenience to the field of fraud detection.
