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003 | OCoLC | ||
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_z9780691147611 _q(hardcover _qalkaline paper) |
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_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] |
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264 | 4 | _c�2015 | |
300 | _a1 online resource (xxvi, 438 pages) | ||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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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 |
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650 | 0 |
_aDistribution (Probability theory) _910767 |
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650 | 0 |
_aProbability measures. _911524 |
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650 | 6 |
_aDistribution (Th�eorie des probabilit�es) _963666 |
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650 | 6 |
_aMesures de probabilit�es. _964331 |
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650 | 7 |
_adistribution (statistics-related concept) _2aat _963667 |
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650 | 7 |
_aMATHEMATICS _xApplied. _2bisacsh _95811 |
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650 | 7 |
_aMATHEMATICS _xProbability & Statistics _xGeneral. _2bisacsh _95812 |
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650 | 7 |
_aMATHEMATICS _xGeneral. _2bisacsh _94635 |
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650 | 7 |
_aDistribution (Probability theory) _2fast _0(OCoLC)fst00895600 _910767 |
|
650 | 7 |
_aProbability measures. _2fast _0(OCoLC)fst01077757 _911524 |
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650 | 7 |
_aBenford-Gesetz _2gnd _964332 |
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650 | 7 |
_aWahrscheinlichkeitsverteilung _2gnd _964333 |
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655 | 4 |
_aElectronic books. _93294 |
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700 | 1 |
_aMiller, Steven J., _d1974- _eeditor. _964334 |
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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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