A Statistical Derivation of the Significant-Digit Law

@inproceedings{Hill1995ASD,
  title={A Statistical Derivation of the Significant-Digit Law},
  author={Theodore P. Hill},
  year={1995}
}
The history, empirical evidence and classical explanations of the significant-digit (or Benford's) law are reviewed, followed by a sum- mary of recent invariant-measure characterizations. Then a new statisti- cal derivation of the law in the form of a CLT-like theorem for significant digits is presented. If distributions are selected at random (in any "unbi- ased" way) and random samples are then taken from each of these dis- tributions, the significant digits of the combined sample will… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 237 CITATIONS

First digit law from Laplace transform

VIEW 7 EXCERPTS
CITES BACKGROUND
HIGHLY INFLUENCED

O T ] 3 0 A pr 2 01 9 First digit law from Laplace transform

Mingshu Cong, Congqiao Li, Bo-Qiang Ma
  • 2019
VIEW 7 EXCERPTS
CITES BACKGROUND
HIGHLY INFLUENCED

Benford's Law for Music Analysis

VIEW 4 EXCERPTS
CITES BACKGROUND
HIGHLY INFLUENCED

Mathematical and Statistical Methods for Actuarial Sciences and Finance

VIEW 10 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

FILTER CITATIONS BY YEAR

1996
2019

CITATION STATISTICS

  • 37 Highly Influenced Citations

  • Averaged 12 Citations per year from 2017 through 2019

References

Publications referenced by this paper.