本福德定律在小型可兰经数据集中的度量

M. Jaffar, A. N. Zailan, N. H. Izamuddin
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引用次数: 0

摘要

Benford定律被广泛应用于各种数据集的异常检测,包括会计欺诈检测和人口数量。这是一种统计规律,据说它在以非均匀方式分布的大数量级的大数据集上工作得更好。在这项研究中,我们研究了小型可兰经数据集中适用于本福德定律的潜在指标。出乎意料的是,我们发现《古兰经》数据集符合本福德定律。我们提供的证据表明,每章总段落和每章总诗句等指标符合本福德的分布。然而,与总段落相比,总诗句更接近本福德定律的预测。
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METRICS IN SMALL-SIZED QURAN DATASET FOR BENFORD’S LAW
Benford’s law is widely applied in testing anomalies in various dataset, including accounting fraud detection and population numbers. It is a statistical regularity, which is said that it works better with larger datasets that span large orders of magnitude distributed in a non-uniform way. In this study, we examine the potential metrics in small-sized Quran dataset that are applicable for the Benford’s law. Against our expectations, we find that the Quran dataset conforms to the Benford’s law. We provide evidence that metrics such as total paragraph per chapter and total verse per chapter conform to Benford’s distribution. However, total verse is closer to Benford’s law prediction compared to total paragraph.
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