Revisiting the Benford law: When the Benford-like distribution of leading digits in sets of numerical data is expectable?
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- 作者：G. Whymana ; N. Ohtorib ; E. Shulzingera ; Ed. Bormashenkoa ; edward@ariel.ac.il" class="auth_mail" title="E-mail the corresponding author
- 关键词：Benford&rsquo ; s law ; Generalization ; Exemplifications ; Functional dependence between quantities
- 刊名：Physica A: Statistical Mechanics and its Applications
- 出版年：2016
- 出版时间：1 November 2016
- 年：2016
- 卷：461
- 期：Complete
- 页码：595-601
- 全文大小：455 K
文摘
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The Benford distribution is a particular case of a more general mathematical statement.
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The exact Benford distribution is valid for the exponential function only.
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Explicit expressions for frequencies are obtained for the power, logarithmic, and tangent functions.
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The kinematic experiment illustrating proposed distributions is reported.
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Analysis of leading digits frequencies in thermal conductivities of liquids data is presented.