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单词 Anomalous number
释义

Anomalous number

中文百科

本福特定律 Benford's law

(重定向自Anomalous number)

本福特定律,也称为本福特法则,说明一堆从实际生活得出的数据中,以1为首位数字的数的出现机率约为总数的三成,接近期望值1/9的3倍。推广来说,越大的数,以它为首几位的数出现的机率就越低。它可用于检查各种数据是否有造假。

英语百科

Benford's law 本福特定律

(重定向自Anomalous number)
The distribution of first digits, according to Benford's law. Each bar represents a digit, and the height of the bar is the percentage of numbers that start with that digit.
Frequency of first significant digit of physical constants plotted against Benford's law
Graphs of P (d ) for initial digit d in various bases.[6] The dotted line shows P (d ) were the distribution uniform. In the SVG image, hover over a graph to show the value for each point.
Distribution of first digits (in %, red bars) in the population of the 237 countries of the world as of July 2010. Black dots indicate the distribution predicted by Benford's law.

Benford's law, also called the first-digit law, is a phenomenological law about the frequency distribution of leading digits in many (but not all) real-life sets of numerical data. The law states that in many naturally occurring collections of numbers, the leading significant digit is likely to be small. For example, in sets which obey the law, the number 1 appears as the most significant digit about 30% of the time, while 9 appears as the most significant digit less than 5% of the time. By contrast, if the digits were distributed uniformly, they would each occur about 11.1% of the time. Benford's law also makes (different) predictions about the distribution of second digits, third digits, digit combinations, and so on.

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更新时间:2025/6/20 18:05:37