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Benford's law : theory and applications /

"Benford's law states that the leading digits of many data sets are not uniformly distributed from one through nine, but rather exhibit a profound bias. This bias is evident in everything from electricity bills and street addresses to stock prices, population numbers, mortality rates, and...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Miller, Steven J., 1974- (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, New Jersey : Princeton University Press, [2015]
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • pt. I. General theory I : basis of Benford's law
  • A quick introduction to Benford's law
  • A short introduction to the mathematical theory of Benford's law
  • Fourier analysis and Benford's law
  • pt. II. General theory II : distributions and rates of convergence
  • Benford's law geometry
  • Explicit error bounds via total variation
  • Lévy processes and Benford's law
  • pt. III. Applications I : accounting and vote fraud
  • Benford's law as a bridge between statistics and accounting
  • Detecting fraud and errors using Benford's law
  • Can vote counts' digits and Benford's law diagnose elections?
  • Complementing Benford's law for small N : a local bootstrap
  • pt. IV. Applications II : economics
  • Measuring the quality of European statistics
  • Benford's law and fraud in economic research
  • Testing for strategic manipulation of economic and financial data
  • pt. V. Applications III : sciences
  • Psychology and Benford's law
  • Managing risk in numbers games : Benford's law and the small-number phenomenon
  • Benford's law in the natural sciences
  • Generalizing Benford's law : a reexamination of falsified clinical data
  • pt. VI. Applications IV : images
  • Partial volume modeling of medical imaging systems using the Benford distribution
  • Application of Benford's law to images
  • pt. VII. Exercises
  • Exercises.