Department of Statistics, The Chinese University of Hong Kong, Hong Kong, Hong Kong.
PLoS One. 2020 Dec 8;15(12):e0243123. doi: 10.1371/journal.pone.0243123. eCollection 2020.
In this article, we study the applicability of Benford's law and Zipf's law to national COVID-19 case figures with the aim of establishing guidelines upon which methods of fraud detection in epidemiology, based on formal statistical analysis, can be developed. Moreover, these approaches may also be used in evaluating the performance of public health surveillance systems. We provide theoretical arguments for why the empirical laws should hold in the early stages of an epidemic, along with preliminary empirical evidence in support of these claims. Based on data published by the World Health Organization and various national governments, we find empirical evidence that suggests that both Benford's law and Zipf's law largely hold across countries, and deviations can be readily explained. To the best of our knowledge, this paper is among the first to present a practical application of Zipf's law to fraud detection.
本文研究了贝特朗法则和齐普夫定律在国家 COVID-19 病例数据中的适用性,旨在建立基于正规统计分析的流行病学欺诈检测方法的指导方针。此外,这些方法还可以用于评估公共卫生监测系统的性能。我们从理论上论证了为什么这些经验法则在传染病的早期阶段应该适用,并提供了初步的经验证据来支持这些说法。根据世界卫生组织和各国政府公布的数据,我们发现了经验证据,表明贝特朗法则和齐普夫定律在很大程度上适用于各国,并且偏差可以很容易地解释。据我们所知,本文是首次将齐普夫定律应用于欺诈检测的实用范例。