An introduction to Benford's law / Arno Berger and Theodor P. Hill.
This book provides the first comprehensive treatment of Benford's law, the surprising logarithmic distribution of significant digits discovered in the late nineteenth century. Establishing the mathematical and statistical principles that underpin this intriguing phenomenon, the text combines up...
Saved in:
| Online Access: |
Full Text (via ProQuest) |
|---|---|
| Main Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton :
Princeton University Press,
[2015]
|
| Subjects: |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | b11480345 | ||
| 005 | 20240209053218.0 | ||
| 006 | m o d | ||
| 007 | cr ||||||||||| | ||
| 008 | 150406t20152015njua ob 001 0 eng d | ||
| 010 | |a 2014953765 | ||
| 019 | |a 1175625075 | ||
| 020 | |a 9781400866588 |q (electronic bk.) | ||
| 020 | |a 1400866588 |q (electronic bk.) | ||
| 020 | |z 9780691163062 |q (print) | ||
| 020 | |z 0691163065 |q (print) | ||
| 029 | 1 | |a AU@ |b 000054852765 | |
| 029 | 1 | |a CHBIS |b 010449853 | |
| 029 | 1 | |a CHNEW |b 001015690 | |
| 029 | 1 | |a CHVBK |b 335905188 | |
| 029 | 1 | |a DEBBG |b BV042990789 | |
| 029 | 1 | |a DEBBG |b BV043617233 | |
| 029 | 1 | |a DEBSZ |b 433542381 | |
| 029 | 1 | |a DEBSZ |b 44598726X | |
| 029 | 1 | |a DEBSZ |b 453328180 | |
| 035 | |a (OCoLC)ebq906575018dda | ||
| 035 | |a (OCoLC)906575018 |z (OCoLC)1175625075 | ||
| 037 | |a ebq1929547dda | ||
| 040 | |a N$T |b eng |e rda |e pn |c N$T |d N$T |d IDEBK |d E7B |d EBLCP |d YDXCP |d CDX |d COO |d OSU |d DEBSZ |d OCLCF |d JSTOR |d CUT |d IDB |d VGM |d OCLCQ |d LGG |d IOG |d MERUC |d EZ9 |d TXC |d OCLCQ |d WYU |d LVT |d UKAHL |d UX1 |d IEEEE |d OCLCO |d OCLCQ |d SFB |d OCLCQ |d OCLCO |d OCLCL |d OCLCQ | ||
| 049 | |a GWRE | ||
| 050 | 4 | |a QA273.6 | |
| 100 | 1 | |a Berger, Arno, |d 1968- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjFX7dwdT7gDmgrtHtp96q | |
| 245 | 1 | 3 | |a An introduction to Benford's law / |c Arno Berger and Theodor P. Hill. |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c [2015] | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (viii, 248 pages) : |b illustrations (some color) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file |2 rda | ||
| 588 | 0 | |a Online resource; title from PDF title page (Ebsco, viewed April 8, 2015). | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a This book provides the first comprehensive treatment of Benford's law, the surprising logarithmic distribution of significant digits discovered in the late nineteenth century. Establishing the mathematical and statistical principles that underpin this intriguing phenomenon, the text combines up-to-date theoretical results with overviews of the law's colorful history, rapidly growing body of empirical evidence, and wide range of applications. An Introduction to Benford's Law begins with basic facts about significant digits, Benford functions, sequences, and random variables, including tools from the theory of uniform distribution. After introducing the scale-, base-, and sum-invariance characterizations of the law, the book develops the significant-digit properties of both deterministic and stochastic processes, such as iterations of functions, powers of matrices, differential equations, and products, powers, and mixtures of random variables. Two concluding chapters survey the finitely additive theory and the flourishing applications of Benford's law. Carefully selected diagrams, tables, and close to 150 examples illuminate the main concepts throughout. The text includes many open problems, in addition to dozens of new basic theorems and all the main references. A distinguishing feature is the emphasis on the surprising ubiquity and robustness of the significant-digit law. This text can serve as both a primary reference and a basis for seminars and courses. | ||
| 505 | 0 | |a Significant digits and the significand -- The Benford property -- The uniform distribution and Benford's law -- Scale-, base-, and sum-invariance -- Real-valued deterministic processes -- Multi-dimensional linear processes -- Real-valued random processes -- Finitely additive probability and Benford's law -- Applications of Benford's law. | |
| 650 | 0 | |a Distribution (Probability theory) | |
| 650 | 0 | |a Probability measures. | |
| 650 | 7 | |a Distribution (Probability theory) |2 fast | |
| 650 | 7 | |a Probability measures |2 fast | |
| 700 | 1 | |a Hill, Theodore Preston, |e author. | |
| 758 | |i has work: |a An introduction to Benford's law (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGTd9VbXhGF4qG9P69Pjfm |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9781400866588 |w (OCoLC)906575018 |
| 856 | 4 | 0 | |u https://ebookcentral.proquest.com/lib/ucb/detail.action?docID=1929547 |z Full Text (via ProQuest) |
| 915 | |a - | ||
| 956 | |a Ebook Central DDA | ||
| 956 | |b Ebook Central DDA Titles | ||
| 994 | |a 92 |b COD | ||
| 998 | |b WorldCat record encoding level change | ||
| 999 | f | f | |i 53d07863-d059-5e6c-a332-741c3c370bb3 |s fc7442fa-4f5a-53b1-b8f6-3e36807d897c |
| 952 | f | f | |p Can circulate |a University of Colorado Boulder |b Online |c Online |d Online |e QA273.6 |h Library of Congress classification |i web |n 1 |