A general framework for constructing distributions satisfying Benford's law

被引:0
|
作者
Kazemitabar, Javad [1 ]
机构
[1] Babol Noshirvani Univ Technol, Dept Elect & Comp Engn, Babol, Iran
关键词
Benford's law; Nyquist inter-symbol interference theorem; Mantissa; statistics; telecommunication;
D O I
10.1080/03610918.2022.2032153
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Hill pointed out in his landmark paper that "An interesting open problem is to determine which common distributions (or mixtures thereof) satisfy Benford's law horizontal ellipsis ". Ever-since, there has been many attempts in finding distributions that are precisely compliant with Benford's law. Even though sufficient conditions were derived and some ad-hoc distributions were reported in the literature, the lack of a general framework for generating such distributions is sensed. Almost all of the reported Benford-compliant distributions are finite-length. This paper looks at the problem from an electrical engineer's perspective; it harnesses the literature on Nyquist inter-symbol interference theorem and then proposes a framework for generating infinite-length or arbitrary long finite-length distributions satisfying Benford's law.
引用
收藏
页码:6160 / 6167
页数:8
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