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Modified Benford’s law for two-exponent distributions

Author

Listed:
  • Hsiang-chi Tseng

    (Chung Yuan Christian University)

  • Wei-neng Huang

    (Chung Yuan Christian University)

  • Ding-wei Huang

    (Chung Yuan Christian University)

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.

Suggested Citation

  • Hsiang-chi Tseng & Wei-neng Huang & Ding-wei Huang, 2017. "Modified Benford’s law for two-exponent distributions," Scientometrics, Springer;Akadémiai Kiadó, vol. 110(3), pages 1403-1413, March.
    • Handle: RePEc:spr:scient:v:110:y:2017:i:3:d:10.1007_s11192-016-2217-6
    DOI: 10.1007/s11192-016-2217-6
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    References listed on IDEAS

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