Benford's Law: Theory, The General Law Of Relative Quantities, And Forensic Fraud Detection Applications


Book Description

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.




Words of Destiny


Book Description

Astrologers play an important role in Indian society, but there are very few studies on their social identity and professional practices. Based on extensive fieldwork carried out in the city of Banaras, Words of Destiny shows how the Brahmanical scholarly tradition of astral sciences (jyotiḥśāstra) described in Sanskrit literature and taught at universities has been adapted and reformulated to meet the needs and questions of educated middle and upper classes in urban India: How to get a career promotion? How to choose the most suitable field of study for children? When is the best moment to move into a new house? The study of astrology challenges ready-made assumptions about the boundaries between "science" and "superstition," "rationality" and "magic." Rather than judging the validity of astrology as a knowledge system, Caterina Guenzi explores astrological counseling as a social practice and how it "works from within" for both astrologers and their clients. She examines the points of view of those who use astrology either as a way of earning their living or as a means through which to solve problems and make decisions, concluding that, because astrology combines mathematical calculations and astronomical observations with ritual practices, it provides educated urban families with an idiom through which modern science and devotional Hinduism can be subsumed.




The Tawny One


Book Description

A modern exploration of ancient wisdom relating to psychoactive plants. The ancient ritual drink used in religious ceremonies and known as soma in India and as haoma in the Zoroastrian tradition is praised in the highest terms - as a kind of deity - in both Zoroastrian and Vedic texts, which date from around 1,700 - 1,500 BCE. It is said to provide health, power, wisdom and even immortality. Many theories have been published about the possible botanical identity of this 'nectar of immortality', a plant which appears to have psychedelic/entheogenic properties. Matthew Clark spent several years researching and travelling widely in his quest of soma and in his fascinating, original and highly readable book, Clark reviews scholarly research, explores mythology and ritual and shares his extensive knowledge of psychoactive plants and fungi. The author suggests that the visionary soma drink was based on analogues of ayahuasca, using a variety of plants, some of which can now be identified.




Blurred Nationalities across the North Atlantic


Book Description

Long before the mid-nineteenth century, thousands of people were frequently moving between North America – specifically, the United States and British North America – and Leghorn, Genoa, Naples, Rome, Sicily, Piedmont, Lombardy, Venice, and Trieste. Predominantly traders, sailors, transient workers, Catholic priests, and seminarians, this group relied on the exchange of goods across the Atlantic to solidify transatlantic relations; during this period, stories about the New World passed between travellers through word of mouth and letter writing. Blurred Nationalities across the North Atlantic challenges the idea that national origin – for instance, Italianness – constitutes the only significant feature of a group’s identity, revealing instead the multifaceted personalities of the people involved in these exchanges.