Kapitel in diesem Buch

1. Frontmatter i
2. Contents vii
3. Foreword xiii
4. Preface xvii
5. Notation xxiii
6. PART I. General Theory I: Basis of Benfordʼs Law
7. Chapter One. A Quick Introduction to Benfordʼs Law 3
8. Chapter Two. A Short Introduction to the Mathematical Theory of Benfordʼs Law 23
9. Chapter Three. Fourier Analysis and Benfordʼs Law 68
10. PART II. General Theory II: Distributions and Rates of Convergence
11. Chapter Four. Benfordʼs Law Geometry 109
12. Chapter Five. Explicit Error Bounds via Total Variation 119
13. Chapter Six. Lévy Processes and Benfordʼs Law 135
14. PART III Applications I: Accounting and Vote Fraud
15. Chapter Seven. Benfordʼs Law as a Bridge between Statistics and Accounting 177
16. Chapter Eight. Detecting Fraud and Errors Using Benfordʼs Law 191
17. Chapter Nine. Can Vote Countsʼ Digits and Benfordʼs Law Diagnose Elections? 212
18. Chapter Ten. Complementing Benfordʼs Law for Small N: A Local Bootstrap 223
19. PART IV. Applications II: Economics
20. Chapter Eleven. Measuring the Quality of European Statistics 235
21. Chapter Twelve. Benfordʼs Law and Fraud in Economic Research 244
22. Chapter Thirteen. Testing for Strategic Manipulation of Economic and Financial Data 257
23. PART V. Applications III: Sciences
24. Chapter Fourteen. Psychology and Benfordʼs Law 267
25. Chapter Fifteen. Managing Risk in Numbers Games 276
26. Chapter Sixteen. Benfordʼs Law in the Natural Sciences 290
27. Chapter Seventeen. Generalizing Benfordʼs Law 304
28. PART VI. Applications IV: Images
29. Chapter Eighteen. PV Modeling of Medical Imaging Systems 319
30. Chapter Nineteen. Application of Benfordʼs Law to Images 338
31. PART VII. Exercises
32. Chapter Twenty. Exercises 373
33. Bibliography 402
34. Index 433