Benford's Law : : Theory and Applications / / ed. by Steven J. Miller.

• Superior document: Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015
• MitwirkendeR: Abdallah, Chaouki T.,; Berger, Arno,; Brähler, Gernot,; Burns, Bruce D.,; Chiverton, John,; Cho, Wendy K. Tam,; Chou, Mabel C.,; Cleary, Richard J.,; Dümbgen, Lutz,; Engel, Stefan,; Göttsche, Max,; Heileman, Gregory L.,; Hill, T.P.,; Hoyle, David,; Judge, George,; Kong, Qingxia,; Krygier, Jonathan,; Lee, Joanne,; Leemis, Lawrence,; Leuenberger, Christoph,; Mebane, Walter R.,; Miller, Steven J.,; Moul, Charles C.,; Nigrini, Mark,; Nye, John V. C.,; Pérez-González, Fernando,; Quach, Tu-Thach,; Rauch, Bernhard,; Roukema, Boudewijn F.,; Schürger, Klaus,; Teo, Chung-Piaw,; Thibodeau, Jay C.,; Tödter, Karl-Heinz,; Wells, Kevin,; Zheng, Huan,
• HerausgeberIn: Miller, Steven J.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2015]; ©2015
• Year of Publication: 2015
• Edition: Course Book
• Language: English
• Physical Description: 1 online resource (464 p.) :; 78 line illus.

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 the le...

Table of Contents

• Frontmatter
• Contents
• Foreword
• Preface
• Notation
• PART I. General Theory I: Basis of Benfordʼs Law
• 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
• PART II. General Theory II: Distributions and Rates of Convergence
• Chapter Four. Benfordʼs Law Geometry
• Chapter Five. Explicit Error Bounds via Total Variation
• Chapter Six. Lévy Processes and Benfordʼs Law
• PART III Applications I: Accounting and Vote Fraud
• Chapter Seven. Benfordʼs Law as a Bridge between Statistics and Accounting
• Chapter Eight. Detecting Fraud and Errors Using Benfordʼs Law
• Chapter Nine. Can Vote Countsʼ Digits and Benfordʼs Law Diagnose Elections?
• Chapter Ten. Complementing Benfordʼs Law for Small N: A Local Bootstrap
• PART IV. Applications II: Economics
• 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
• PART V. Applications III: Sciences
• 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
• PART VI. Applications IV: Images
• Chapter Eighteen. PV Modeling of Medical Imaging Systems
• Chapter Nineteen. Application of Benfordʼs Law to Images
• PART VII. Exercises
• Chapter Twenty. Exercises
• Bibliography
• Index