Homepage for "The Theory and Applications of Benford's Law" (Steven J. Miller, editor)

The purpose of this page is to provide additional resources for the book, in particular, supplemental readings and homework problems for those wishing to use this book in a course. Except for some additional problems for Chapter 6, all the homework problems are available here: Problems for "The Theory and Applications of Benford's Law".

• General Resources
  • Berger and Hill: Benford Online Bibliography.
  • Hurlimann: Benford's Law from 1881 to 2006: A Bibliography
  • Wagon: Benford's Law and Data Spread (Mathematica notebook)
  • Princeton University Press' homepage: http://press.princeton.edu/titles/10527.html
• Part I: General Theory I: Basis of Benford’s Law
  • Chapter 1: A Quick Introduction to Benford’s Law (Miller)
  • Chapter 2: A Short Introduction to the Mathematical Theory of Benford’s Law (Berger and Hill)
  • Chapter 3: Fourier Analysis and Benford’s Law (Miller)
• Part II: General Theory II: Distributions and Rates of Convergence
  • Chapter 4: Benford’s Law Geometry (Leemis)
  • Chapter 5: Explicit Error Bounds via Total Variation (Dümbgen and Christoph Leuenberger)
  • Chapter 6: Lévy Processes and Benford’s Law (Schürger)
• Part III: Applications I: Accounting and Vote Fraud
  • Chapter 7: Benford’s Law as a Bridge between Statistics and Accounting (Cleary and Thibodeau)
  • Chapter 8: Detecting Fraud and Errors Using Benford’s Law (Nigrini)
  • Chapter 9: Can Vote Counts' Digits and Benford's Law Diagnose Elections? (Mebane)
  • Chapter 10: Complementing Benford’s Law for small N: a local bootstrap (Roukema)
• Part IV: Applications II: Economics
  • Chapter 11: Measuring the Quality of European Statistics (Rauch, Göttsche, Brähler and Engel)
  • Chapter 12: Benford’s Law and Fraud in Economic Research (Tödter)
  • Chapter 13: Testing for Strategic Manipulation of Economic and Financial Data (Moul and Nye)
• Part V: Applications III: Psychology and the Sciences
  • Chapter 14: Psychology and Benford’s Law (Burns and Krygier)
  • Chapter 15: Managing Risk in Numbers Games (Chou, Kong, Teo and Zheng)
  • Chapter 16: Benford’s Law in the Natural Sciences (Hoyle)
  • Chapter 17: Generalizing Benford’s Law (Lee, Cho and Judge)
• Part VI: Applications IV: Images
  • Chapter 18: PV Modeling of Medical Imaging Systems (Chiverton and Wells)
  • Chapter 19: Application of Benford’s Law to Images (Pérez-González, Quach, Abdallah, Heileman and Miller)

Questions? Contact Steven J Miller at sjm1@williams.edu or Steven.Miller.MC.96@aya.yale.edu.