arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1602.01205cs.DLphysics.soc-ph
收藏

引用本福德定律的文章:本福德分析

Citations to articles citing Benford's law: a Benford analysis

Tariq Ahmad Mir

摘要:

在大数据中,数字的第一个有效数字的出现通常受一个称为本福德定律(BL)的递减分布的控制,S。Newcomb(SN)和几十年后独立的F。Benford(FB).由于它的反直觉性,几十年来,这条定律仅仅被当作一种好奇的观察而被忽视。然而,SN/FB的论文被引用的数量大幅增加,这表明它的显著复苏。法律已经走过了漫长的道路,从默默无闻到现在成为书籍,同行评议论文,专利,博客和新闻的常规主题。本文利用Google Scholar(GS)收集了引用SN/FB原始论文的文章的被引次数数据,并研究了这些引文数据的前几位数字是否按照他们发现的规律分布。我们发现,文献的引用数据BL是在显着的法律的预测一致。

英文摘要:

The occurrence of first significant digits of numbers in large data is often governed by a logarithmically decreasing distribution called Benford's law (BL), reported first by S. Newcomb (SN) and many decades later independently by F. Benford (FB). Due to its counter-intuitiveness the law was ignored for decades as a mere curious observation. However, an indication of its remarkable resurgence is the huge swell in the number of citations received by the papers of SN/FB. The law has come a long way, from obscurity to now being a regular subject of books, peer reviewed papers, patents, blogs and news. Here, we use Google Scholar (GS) to collect the data on the number of citations received by the articles citing the original paper of SN/FB and then investigate whether the leading digits of this citations data are distributed according to the law they discovered. We find that the citations data of literature on BL is in remarkable agreement with the predictions of the law.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑