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Studies in Benford's Law: Arithmetical Tugs of War, Quantitative Partition Models, Prime Numbers, Exponential Growth Series, and Data Forensics
Language: English
Published by Independently Published, 2019
ISBN 10: 172928325X ISBN 13: 9781729283257
Paperback. Condition: As New. No Jacket. Pages are clean and are not marred by notes or folds of any kind. ~ ThriftBooks: Read More, Spend Less.
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Condition: As New. Unread book in perfect condition.
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The Birth Of Science
Book 16 of 16: Popular ScienceSeller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Seller rating 5 out of 5 stars
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Condition: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service.
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US$ 36.47
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The Birth of Science (Popular Science)
Book 16 of 16: Popular ScienceSeller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
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US$ 44.20
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Add to basketPaperback. Condition: Brand New. 220 pages. 9.00x6.00x0.50 inches. In Stock.
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Birth of Science
Book 16 of 16: Popular ScienceSeller: GreatBookPricesUK, Woodford Green, United Kingdom
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Birth of Science
Book 16 of 16: Popular ScienceSeller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
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Condition: New.
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Condition: New. pp. 217.
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Condition: Like New. Most items will be dispatched the same or the next working day. An apparently unread copy in perfect condition. Dust cover is intact with no nicks or tears. Spine has no signs of creasing. Pages are clean and not marred by notes or folds of any kind.
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STUDIES IN BENFORD'S LAW: Arithmetical Tugs of War, Quantitative Partition Models, Prime Numbers, Exponential Growth Series, and Data Forensics
Language: English
Published by Independently published, 2019
ISBN 10: 172928325X ISBN 13: 9781729283257
US$ 54.65
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Add to basketPaperback. Condition: Brand New. 523 pages. 11.00x8.50x1.18 inches. In Stock.
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Add to basketPaperback. Condition: Brand New. 233 pages. 11.00x8.50x0.53 inches. In Stock.
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Condition: As New. Unread book in perfect condition.
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Mathematical Mysteries In The Natural World: Why The Small Outnumbers The Big
Language: English
Published by World Scientific Publishing Co Pte Ltd, SG, 2025
ISBN 10: 9819803012 ISBN 13: 9789819803019
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. Why are there more poor people with small bank accounts than rich people with big bank accounts? Why are there more small planets and stars than big ones in the cosmos? And why are there more small rivers than big rivers, and more harmless tremors than devastating earthquakes? Empirical examinations of real-life data overwhelmingly confirm the existence of such uneven size proportions in favor of the small, leaving us only the question: Why?This law of nature carries through a vast list of topics and disciplines, confirming it to be nearly universal. In the biological world there are only approximately two million whales and over three hundred billion birds; in number theory there are more small prime numbers than there are big ones; in census data there are more villages than towns, more towns than cities, and more cities than metropolises; in history there have been more minor conflicts than great wars.In a landmark, first-ever study on the distribution of relative sizes, this book discusses several real-life case studies such as those above in extensive detail, and presents three distinct explanations for the phenomenon. Readers of all disciplines and levels of expertise will find an easily accessible yet original exploration that concludes with a numerical quantification demonstrating precisely by how much the relatively small is more numerous than the relatively big.
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Benford's Law: Theory, The General Law Of Relative Quantities, And Forensic Fraud Detection Applications
Language: English
Published by World Scientific Publishing Co Pte Ltd, 2014
ISBN 10: 9814651206 ISBN 13: 9789814651202
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.
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Benford's Law: Theory, The General Law Of Relative Quantities, And Forensic Fraud Detection Applications
Language: English
Published by World Scientific Publishing Co Pte Ltd, SG, 2014
ISBN 10: 9814651206 ISBN 13: 9789814651202
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. Contrary to common intuition that all digits should occur randomly with equal chances in real data, empirical examinations consistently show that not all digits are created equal, but rather that low digits such as {1, 2, 3} occur much more frequently than high digits such as {7, 8, 9} in almost all data types, such as those relating to geology, chemistry, astronomy, physics, and engineering, as well as in accounting, financial, econometrics, and demographics data sets. This intriguing digital phenomenon is known as Benford's Law.This book gives a comprehensive and in-depth account of all the theoretical aspects, results, causes and explanations of Benford's Law, with a strong emphasis on the connection to real-life data and the physical manifestation of the law. In addition to such a bird's eye view of the digital phenomenon, the conceptual distinctions between digits, numbers, and quantities are explored; leading to the key finding that the phenomenon is actually quantitative in nature; originating from the fact that in extreme generality, nature creates many small quantities but very few big quantities, corroborating the motto "small is beautiful", and that therefore all this is applicable just as well to data written in the ancient Roman, Mayan, Egyptian, and other digit-less civilizations.Fraudsters are typically not aware of this digital pattern and tend to invent numbers with approximately equal digital frequencies. The digital analyst can easily check reported data for compliance with this digital law, enabling the detection of tax evasion, Ponzi schemes, and other financial scams. The forensic fraud detection section in this book is written in a very concise and reader-friendly style; gathering all known methods and standards in the accounting and auditing industry; summarizing and fusing them into a singular coherent whole; and can be understood without deep knowledge in statistical theory or advanced mathematics. In addition, a digital algorithm is presented, enabling the auditor to detect fraud even when the sophisticated cheater is aware of the law and invents numbers accordingly. The algorithm employs a subtle inner digital pattern within the Benford's pattern itself. This newly discovered pattern is deemed to be nearly universal, being even more prevalent than the Benford phenomenon, as it is found in all random data sets, Benford as well as non-Benford types.
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Benford's Law: Theory, The General Law Of Relative Quantities, And Forensic Fraud Detection Applications
Language: English
Published by World Scientific Publishing Co Pte Ltd, 2014
ISBN 10: 9814651206 ISBN 13: 9789814651202
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
US$ 81.04
US$ 7.92 shipping
Ships from United Kingdom to U.S.A.Quantity: 15 available
Add to basketPAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.
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Benford's Law: Theory, The General Law Of Relative Quantities, And Forensic Fraud Detection Applications (Paperback)
Language: English
Published by World Scientific Publishing Co Pte Ltd, Singapore, 2014
ISBN 10: 9814651206 ISBN 13: 9789814651202
Paperback. Condition: new. Paperback. Contrary to common intuition that all digits should occur randomly with equal chances in real data, empirical examinations consistently show that not all digits are created equal, but rather that low digits such as {1, 2, 3} occur much more frequently than high digits such as {7, 8, 9} in almost all data types, such as those relating to geology, chemistry, astronomy, physics, and engineering, as well as in accounting, financial, econometrics, and demographics data sets. This intriguing digital phenomenon is known as Benford's Law.This book gives a comprehensive and in-depth account of all the theoretical aspects, results, causes and explanations of Benford's Law, with a strong emphasis on the connection to real-life data and the physical manifestation of the law. In addition to such a bird's eye view of the digital phenomenon, the conceptual distinctions between digits, numbers, and quantities are explored; leading to the key finding that the phenomenon is actually quantitative in nature; originating from the fact that in extreme generality, nature creates many small quantities but very few big quantities, corroborating the motto 'small is beautiful', and that therefore all this is applicable just as well to data written in the ancient Roman, Mayan, Egyptian, and other digit-less civilizations.Fraudsters are typically not aware of this digital pattern and tend to invent numbers with approximately equal digital frequencies. The digital analyst can easily check reported data for compliance with this digital law, enabling the detection of tax evasion, Ponzi schemes, and other financial scams. The forensic fraud detection section in this book is written in a very concise and reader-friendly style; gathering all known methods and standards in the accounting and auditing industry; summarizing and fusing them into a singular coherent whole; and can be understood without deep knowledge in statistical theory or advanced mathematics. In addition, a digital algorithm is presented, enabling the auditor to detect fraud even when the sophisticated cheater is aware of the law and invents numbers accordingly. The algorithm employs a subtle inner digital pattern within the Benford's pattern itself. This newly discovered pattern is deemed to be nearly universal, being even more prevalent than the Benford phenomenon, as it is found in all random data sets, Benford as well as non-Benford types. Contrary to common intuition that all digits should occur randomly with equal chances in real data, empirical examinations consistently show that not all digits are created equal, but rather that low digits such as {1, 2, 3} occur much more frequently than high digits such as {7, 8, 9} in almost all data types Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Benford's Law : Theory, the General Law of Relative Quantities, and Forensic Fraud Detection Applications
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
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Benford's Law: Theory, The General Law Of Relative Quantities, And Forensic Fraud Detection Applications
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
US$ 83.45
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Ships from United Kingdom to U.S.A.Quantity: Over 20 available
Add to basketCondition: New. In.
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US$ 80.00
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Mathematical Mysteries In The Natural World: Why The Small Outnumbers The Big
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
US$ 81.68
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Add to basketCondition: As New. Unread book in perfect condition.
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Mathematical Mysteries In The Natural World: Why The Small Outnumbers The Big
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
US$ 82.78
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Ships from United Kingdom to U.S.A.Quantity: Over 20 available
Add to basketCondition: New.
