Modified Benford’s law for two-exponent distributions

Hsiang-chi Tseng, Wei-neng Huang and Ding-wei Huang ()
Additional contact information
Hsiang-chi Tseng: Chung Yuan Christian University
Wei-neng Huang: Chung Yuan Christian University
Ding-wei Huang: Chung Yuan Christian University

Scientometrics, 2017, vol. 110, issue 3, No 16, 1403-1413

Abstract: Abstract Motivated by applications in scientometrics, we study the occurrence of first significant digits in Lavalette distribution and in double Pareto distribution. We obtain modifications of Benford’s law. When the exponents are small, significant deviations to Benford’s law are observed; when the exponents are large, the two distributions conform with Benford’s law. Both analytical and numerical results are presented. Scientometric data can fairly well be described by the modifications.

Keywords: Benford’s law; Zipf’s law; Double Pareto distribution; Lavalette distribution (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11192-016-2217-6 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:scient:v:110:y:2017:i:3:d:10.1007_s11192-016-2217-6

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/11192

DOI: 10.1007/s11192-016-2217-6

Access Statistics for this article

Scientometrics is currently edited by Wolfgang Glänzel

More articles in Scientometrics from Springer, Akadémiai Kiadó
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().