Modified Benford’s law for two-exponent distributions

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• 作者：Hsiang-chi Tseng ; Wei-neng Huang ; Ding-wei Huang
• 关键词：Benford’s law ; Zipf’s law ; Double Pareto distribution ; Lavalette distribution
• 刊名：Scientometrics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：110
• 期：3
• 页码：1403-1413
• 全文大小：
• 刊物主题：Information Storage and Retrieval; Library Science;
• 出版者：Springer Netherlands
• ISSN：1588-2861
• 卷排序：110

文摘

Motivated by applications in scientometrics, we study the occurrence of first significant digits in Lavalette distribution and in double Pareto distribution. We obtain modifications of Benford’s law. When the exponents are small, significant deviations to Benford’s law are observed; when the exponents are large, the two distributions conform with Benford’s law. Both analytical and numerical results are presented. Scientometric data can fairly well be described by the modifications.