- Title Pages
- Dedication
- Foreword
- Preface
- Notation
-
Chapter One A Quick Introduction to Benfordʼs Law -
Chapter Two A Short Introduction to the Mathematical Theory of Benfordʼs Law -
Chapter Three Fourier Analysis and Benfordʼs Law -
Chapter Four Benfordʼs Law Geometry -
Chapter Five Explicit Error Bounds via Total Variation -
Chapter Six Lévy Processes and Benfordʼs Law -
Chapter Seven Benfordʼs Law as a Bridge between Statistics and Accounting -
Chapter Eight Detecting Fraud and Errors Using Benfordʼs Law Mark Nigrini -
Chapter Nine Can Vote Countsʼ Digits and Benfordʼs Law Diagnose Elections? -
Chapter Ten Complementing Benfordʼs Law for Small N: A Local Bootstrap -
Chapter Eleven Measuring the Quality of European Statistics -
Chapter Twelve Benfordʼs Law and Fraud in Economic Research -
Chapter Thirteen Testing for Strategic Manipulation of Economic and Financial Data -
Chapter Fourteen Psychology and Benfordʼs Law -
Chapter Fifteen Managing Risk in Numbers Games -
Chapter Sixteen Benfordʼs Law in the Natural Sciences -
Chapter Seventeen Generalizing Benfordʼs Law -
Chapter Eighteen PV Modeling of Medical Imaging Systems -
Chapter Nineteen Application of Benfordʼs Law to Images -
Chapter Twenty Exercises - Bibliography
- Index
Complementing Benfordʼs Law for Small N: A Local Bootstrap
Complementing Benfordʼs Law for Small N: A Local Bootstrap
- Chapter:
- (p.223) Chapter Ten Complementing Benfordʼs Law for Small N: A Local Bootstrap
- Source:
- Benford's Law
- Author(s):
Boudewijn F. Roukema
- Publisher:
- Princeton University Press
This chapter analyzes the initially published results of the 2009 Iranian presidential elections. It applies a small N statistical first-digit frequency test that is as nonparametric as possible in a way that leaves no doubt regarding “how close” the observed system should be to a Benford's law limit. The approach this chapter studies is a local bootstrap model, designed to closely mimic the data in a way that should statistically reproduce its first-digit distributions, given some simple hypotheses about the general behavior of the system. This method was calibrated on several presidential-election first rounds from before 2009 and applied to the 2009 Iranian election.
Keywords: 2009 presidential elections, Iranian presidential elections, Iranian election, local boostrap model, Benford's law limit, first-digit frequency
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- Title Pages
- Dedication
- Foreword
- Preface
- Notation
-
Chapter One A Quick Introduction to Benfordʼs Law -
Chapter Two A Short Introduction to the Mathematical Theory of Benfordʼs Law -
Chapter Three Fourier Analysis and Benfordʼs Law -
Chapter Four Benfordʼs Law Geometry -
Chapter Five Explicit Error Bounds via Total Variation -
Chapter Six Lévy Processes and Benfordʼs Law -
Chapter Seven Benfordʼs Law as a Bridge between Statistics and Accounting -
Chapter Eight Detecting Fraud and Errors Using Benfordʼs Law Mark Nigrini -
Chapter Nine Can Vote Countsʼ Digits and Benfordʼs Law Diagnose Elections? -
Chapter Ten Complementing Benfordʼs Law for Small N: A Local Bootstrap -
Chapter Eleven Measuring the Quality of European Statistics -
Chapter Twelve Benfordʼs Law and Fraud in Economic Research -
Chapter Thirteen Testing for Strategic Manipulation of Economic and Financial Data -
Chapter Fourteen Psychology and Benfordʼs Law -
Chapter Fifteen Managing Risk in Numbers Games -
Chapter Sixteen Benfordʼs Law in the Natural Sciences -
Chapter Seventeen Generalizing Benfordʼs Law -
Chapter Eighteen PV Modeling of Medical Imaging Systems -
Chapter Nineteen Application of Benfordʼs Law to Images -
Chapter Twenty Exercises - Bibliography
- Index
