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019 _a994039303
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020 _a9781400866595
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020 _a1400866596
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020 _z9780691147611
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020 _z0691147612
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082 0 4 _a519.2/4
_223
049 _aMAIN
245 0 0 _aBenford's law :
_btheory and applications /
_cedited by Steven J. Miller.
264 1 _aPrinceton, New Jersey :
_bPrinceton University Press,
_c[2015]
264 4 _c�2015
300 _a1 online resource (xxvi, 438 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
504 _aIncludes bibliographical references and index.
588 0 _aPrint version record.
505 0 _apt. 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 -- L�evy 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.
520 _a"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 lengths of rivers. Here, Steven Miller brings together many of the world's leading experts on Benford's law to demonstrate the many useful techniques that arise from the law, show how truly multidisciplinary it is, and encourage collaboration. Beginning with the general theory, the contributors explain the prevalence of the bias, highlighting explanations for when systems should and should not follow Benford's law and how quickly such behavior sets in. They go on to discuss important applications in disciplines ranging from accounting and economics to psychology and the natural sciences. The contributors describe how Benford's law has been successfully used to expose fraud in elections, medical tests, tax filings, and financial reports. Additionally, numerous problems, background materials, and technical details are available online to help instructors create courses around the book."--Publisher's description
590 _aIEEE
_bIEEE Xplore Princeton University Press eBooks Library
650 0 _aDistribution (Probability theory)
_910767
650 0 _aProbability measures.
_911524
650 6 _aDistribution (Th�eorie des probabilit�es)
_963666
650 6 _aMesures de probabilit�es.
_964331
650 7 _adistribution (statistics-related concept)
_2aat
_963667
650 7 _aMATHEMATICS
_xApplied.
_2bisacsh
_95811
650 7 _aMATHEMATICS
_xProbability & Statistics
_xGeneral.
_2bisacsh
_95812
650 7 _aMATHEMATICS
_xGeneral.
_2bisacsh
_94635
650 7 _aDistribution (Probability theory)
_2fast
_0(OCoLC)fst00895600
_910767
650 7 _aProbability measures.
_2fast
_0(OCoLC)fst01077757
_911524
650 7 _aBenford-Gesetz
_2gnd
_964332
650 7 _aWahrscheinlichkeitsverteilung
_2gnd
_964333
655 4 _aElectronic books.
_93294
700 1 _aMiller, Steven J.,
_d1974-
_eeditor.
_964334
776 0 8 _iPrint version:
_tBenford's law.
_dPrinceton, New Jersey : Princeton University Press, [2015]
_z9780691147611
_w(DLC) 2015011836
_w(OCoLC)894625341
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