A concise proof of Benford's law  

作　　者：Luohan Wang Bo-Qiang Ma 

机构地区：[1]School of Physics,Peking University,Beijing 100871,China [2]Center for High Energy Physics,Peking University,Beijing 100871,China [3]Collaborative Innovation Center of Quantum Matter,Beijing 100871,China

出　　处：《Fundamental Research》2024年第4期841-844,共4页自然科学基础研究（英文版）

基　　金：National Natural Science Foundation of China(12075003).

摘　　要：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.

关 键 词：Benford's law First-digit law Significant digit law PROOF CRITERION 

分 类 号：O17[理学—数学]