Cover image for Benford's Law : Applications for Forensic Accounting, Auditing, and Fraud Detection.
Benford's Law : Applications for Forensic Accounting, Auditing, and Fraud Detection.
Title:
Benford's Law : Applications for Forensic Accounting, Auditing, and Fraud Detection.
Author:
Nigrini, Mark.
ISBN:
9781118286869
Personal Author:
Edition:
1st ed.
Physical Description:
1 online resource (352 pages)
Series:
Wiley Corporate F& Ser. ; v.615

Wiley Corporate F& Ser.
Contents:
BENFORD'S LAW: Applications for Forensic Accounting, Auditing, and Fraud Detection -- Contents -- Foreword -- Preface -- About the Author -- Chapter 1: Introduction and Mathematical Foundations -- Benford's Expected Digit Frequencies -- Defining the First and First-Two Digits -- Digit Patterns of U.S. Census Data -- Logging on to Benford's Law -- General Significant Digit Law -- Log and Behold, the Census Data -- Love at First Sight -- Mantissa Test and Census Data -- Number of Records and Benford's Law Tests -- When Should Data Conform to Benford's Law? -- Conclusions -- Chapter 2: Theorems, Truisms, and a Little Trivia -- Digits of Corporate Payments Data -- Digits of Lake Data -- Scale Invariance Theorem -- Mean Absolute Deviation -- Scale Invariance and Census Data -- Scale Invariance and Corporate Payments -- Scale Invariance and Lake Data -- A Level Playing Field Becomes Benford -- Multiplication by 1/X -- All Distributions Lead to Benford -- Getting a Gripf on Benford and Zipf -- Conclusions -- Chapter 3: More Formulas and Facts, and a Little Fibonacci -- Fibonacci Numbers -- Lucas Numbers -- Back to Square One -- 3n + 1 Problem -- Ultimate Uniform Distribution -- Benford Embraces Other Bases -- Nigrini's Second Last Theorem -- Conclusions -- Chapter 4: Primary Benford's Law Tests -- Corporate Payments Data -- Data Profile -- First Come, First Served -- Playing Second Fiddle -- First-Two Digits Test -- Running the Digit Tests in Excel -- Running the Digit Tests in Access -- Conclusions -- Chapter 5: Advanced Benford's Law Tests -- Summation Test -- Running the Summation Test in Excel -- Running the Summation Test in Access -- Second-Order Test -- An Analysis of Payments Data -- An Analysis of Journal Entry Data -- An Analysis of Census Data -- Running the Second-Order Test in Excel -- Excel, Thanks a Million(s).

Scale Invariance and the Second-Order Test -- Conclusions -- Chapter 6: Associated Benford's Law Tests -- Number Duplication Test -- An Analysis of Payments Data -- An Analysis of Census Data -- Running the Number Duplication Test in Excel -- Running the Number Duplication Test in Access -- Last-Two Digits Test -- An Analysis of Payments Data -- An Analysis of Census Data -- An Analysis of Election Results -- Running the Last-Two Digits Test in Excel -- Running the Last-Two Digits Test in Access -- Distortion Factor Model -- Distortion and the Census Data -- Conclusions -- Chapter 7: Assessing Conformity to Benford's Law -- Z-Statistic -- Chi-Square Test -- Kolmogorov-Smirnoff Test -- Mean Absolute Deviation Test -- The Logarithmic Basis of Benford's Law -- Creating a Perfect Synthetic Benford Set -- Mantissa Arc Test -- Conclusions -- Chapter 8: Examples of Fraudulent Data -- The Inside Story -- The Vendor Who Never Was -- Not Paying Attention -- Funny Money -- The Heart of the Matter -- Going the Extra Mile -- Laugh All the Way to the Bank -- Culture Shock -- Having a Bad Hair Day -- An Unclean Bill of Health -- Turning the Table on Tax Evasion -- Conclusions -- Chapter 9: Fraudulent Financial Statements, Part I -- Number Crunching -- Wrong Numbers -- A Look at Enron's and AIG's Numbers -- Figuring Out the Controllers -- Conclusions -- Chapter 10: Fraudulent Financial Statements, Part II -- Digital Yoga by Absaroka -- Can't See the Forest for the Trees -- Digit a Little Deeper into Papua New Guinea -- The Good, the Bad, and the Ugly -- Dig a Little Deeper -- There Are More Questions than Answers -- Conclusions -- Chapter 11: Madoff and Other Ponzi Schemes -- The Madoff Claims -- Don't Bank on Kaupthing -- The Whole Ball of Waxenberg -- General Motors Demoted to Private -- Chrysler Unable to Dodge Bankruptcy -- Discussion of the Claims Results.

A Review of the Madoff Returns -- Apple, Dell, Berkshire, and Benford -- Discussion of the Returns Results -- Chapter 12: Earth Science and Income Tax Applications -- Still Waters Run Deep -- The Lay of the Lake -- For a Few Dollars Less -- A Clean Bill of Clinton -- Conclusions -- Chapter 13: Future Directions and Conclusions -- My Law -- Insights into Number Invention -- Lehman's Charitable Gifts -- The Bottom Line -- Glossary of Selected Terms -- References -- Index.
Abstract:
A powerful new tool for all forensic accountants, or anyone who analyzes data that may have been altered Benford's Law gives the expected patterns of the digits in the numbers in tabulated data such as town and city populations or Madoff's fictitious portfolio returns. Those digits, in unaltered data, will not occur in equal proportions; there is a large bias towards the lower digits, so much so that nearly one-half of all numbers are expected to start with the digits 1 or 2. These patterns were originally discovered by physicist Frank Benford in the early 1930s, and have since been found to apply to all tabulated data. Mark J. Nigrini has been a pioneer in applying Benford's Law to auditing and forensic accounting, even before his groundbreaking 1999 Journal of Accountancy article introducing this useful tool to the accounting world. In Benford's Law, Nigrini shows the widespread applicability of Benford's Law and its practical uses to detect fraud, errors, and other anomalies. Explores primary, associated, and advanced tests, all described with data sets that include corporate payments data and election data Includes ten fraud detection studies, including vendor fraud, payroll fraud, due diligence when purchasing a business, and tax evasion Covers financial statement fraud, with data from Enron, AIG, and companies that were the target of hedge fund short sales Looks at how to detect Ponzi schemes, including data on Madoff, Waxenberg, and more Examines many other applications, from the Clinton tax returns and the charitable gifts of Lehman Brothers to tax evasion and number invention Benford's Law has 250 figures and uses 50 interesting authentic and fraudulent real-world data sets to explain both theory and practice, and concludes with an agenda and directions for future research. The companion website adds additional information and resources.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
Added Author:
Electronic Access:
Click to View
Holds: Copies: