文章基本信息

标题：Testing the Mixing Property of the Newcomb-Benford Profile: Implications for the Audit Context
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作者：Edward J. Lusk ; Michael Halperin
期刊名称：International Journal of Economics and Finance
印刷版ISSN：1916-971X
电子版ISSN：1916-9728
出版年度：2014
卷号：7
期号：6
页码：42
DOI：10.5539/ijef.v7n6p42
语种：English
出版社：Canadian Center of Science and Education
摘要：Introduction : Circa 1996 Theodore Hill offered a definitive proof that under certain conditions a data generating process is likely to produce observations that follow the Newcomb-Benford Log10 (N-B) first digit profile. The central feature of Hill’s proof is the mixing property from which seems to follow base invariance for scale transformations. Further, it has been observed that small datasets are often not part of the N-B profile set. Study Precise : This suggests that, if indeed the mixing process underlies the generation of the N-B profile, that one should be able to take small Non-Conforming base-invariant datasets that are generated by uncorrupted processes and aggregate them to form datasets that conform to the N-B profile. Results : We demonstrate mixing convergence and find a systematic movement from Non-Conformity to Conformity at a transition point on the order of 250 data points. Impact : We suggest the practical importance of the Hill-Mixing result for the certification audit. We have all of these tests, datasets and results coded in a Decision Support System in VBA: ExcelÔ that is available from the authors free without restriction to its use.