Laws of Small Numbers: Extremes and Rare Events PDF Download

Author: Michael Falk
Publisher: Springer Science & Business Media
ISBN: 3034800096
Category : Mathematics
Languages : en
Pages : 513

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Book Description
Since the publication of the first edition of this seminar book in 1994, the theory and applications of extremes and rare events have enjoyed an enormous and still increasing interest. The intention of the book is to give a mathematically oriented development of the theory of rare events underlying various applications. This characteristic of the book was strengthened in the second edition by incorporating various new results. In this third edition, the dramatic change of focus of extreme value theory has been taken into account: from concentrating on maxima of observations it has shifted to large observations, defined as exceedances over high thresholds. One emphasis of the present third edition lies on multivariate generalized Pareto distributions, their representations, properties such as their peaks-over-threshold stability, simulation, testing and estimation. Reviews of the 2nd edition: "In brief, it is clear that this will surely be a valuable resource for anyone involved in, or seeking to master, the more mathematical features of this field." David Stirzaker, Bulletin of the London Mathematical Society "Laws of Small Numbers can be highly recommended to everyone who is looking for a smooth introduction to Poisson approximations in EVT and other fields of probability theory and statistics. In particular, it offers an interesting view on multivariate EVT and on EVT for non-iid observations, which is not presented in a similar way in any other textbook." Holger Drees, Metrika

Author: Michael Falk
Publisher: Birkhäuser
ISBN: 3034877919
Category : Mathematics
Languages : en
Pages : 381

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Book Description
Since the publication of the first edition of this seminar book, the theory and applications of extremes and rare events have seen increasing interest. Laws of Small Numbers gives a mathematically oriented development of the theory of rare events underlying various applications. The new edition incorporates numerous new results on about 130 additional pages. Part II, added in the second edition, discusses recent developments in multivariate extreme value theory.

Author: Michael Falk
Publisher: Springer Science & Business Media
ISBN: 9783764324162
Category : Mathematics
Languages : en
Pages : 396

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Book Description
Since the publication of the first edition of this seminar book in 1994, the theory and applications of extremes and rare events have enjoyed an enormous and still increasing interest. The intention of the book is to give a mathematically oriented development of the theory of rare events underlying various applications. This characteristic of the book was strengthened in the second edition by incorporating various new results on about 130 additional pages. Part II, which has been added in the second edition, discusses recent developments in multivariate extreme value theory. Particularly notable is a new spectral decomposition of multivariate distributions in univariate ones which makes multivariate questions more accessible in theory and practice. One of the most innovative and fruitful topics during the last decades was the introduction of generalized Pareto distributions in the univariate extreme value theory. Such a statistical modelling of extremes is now systematically developed in the multivariate framework.

Author: Arjun Appadurai
Publisher: Duke University Press
ISBN: 0822387549
Category : Social Science
Languages : en
Pages : 171

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Book Description
The period since 1989 has been marked by the global endorsement of open markets, the free flow of finance capital and liberal ideas of constitutional rule, and the active expansion of human rights. Why, then, in this era of intense globalization, has there been a proliferation of violence, of ethnic cleansing on the one hand and extreme forms of political violence against civilian populations on the other? Fear of Small Numbers is Arjun Appadurai’s answer to that question. A leading theorist of globalization, Appadurai turns his attention to the complex dynamics fueling large-scale, culturally motivated violence, from the genocides that racked Eastern Europe, Rwanda, and India in the early 1990s to the contemporary “war on terror.” Providing a conceptually innovative framework for understanding sources of global violence, he describes how the nation-state has grown ambivalent about minorities at the same time that minorities, because of global communication technologies and migration flows, increasingly see themselves as parts of powerful global majorities. By exacerbating the inequalities produced by globalization, the volatile, slippery relationship between majorities and minorities foments the desire to eradicate cultural difference. Appadurai analyzes the darker side of globalization: suicide bombings; anti-Americanism; the surplus of rage manifest in televised beheadings; the clash of global ideologies; and the difficulties that flexible, cellular organizations such as Al-Qaeda present to centralized, “vertebrate” structures such as national governments. Powerful, provocative, and timely, Fear of Small Numbers is a thoughtful invitation to rethink what violence is in an age of globalization.

Author: Robert Greene
Publisher: Penguin
ISBN: 0670881465
Category : Self-Help
Languages : en
Pages : 481

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Book Description
Amoral, cunning, ruthless, and instructive, this multi-million-copy New York Times bestseller is the definitive manual for anyone interested in gaining, observing, or defending against ultimate control – from the author of The Laws of Human Nature. In the book that People magazine proclaimed “beguiling” and “fascinating,” Robert Greene and Joost Elffers have distilled three thousand years of the history of power into 48 essential laws by drawing from the philosophies of Machiavelli, Sun Tzu, and Carl Von Clausewitz and also from the lives of figures ranging from Henry Kissinger to P.T. Barnum. Some laws teach the need for prudence (“Law 1: Never Outshine the Master”), others teach the value of confidence (“Law 28: Enter Action with Boldness”), and many recommend absolute self-preservation (“Law 15: Crush Your Enemy Totally”). Every law, though, has one thing in common: an interest in total domination. In a bold and arresting two-color package, The 48 Laws of Power is ideal whether your aim is conquest, self-defense, or simply to understand the rules of the game.

Author: Philipp Lepenies
Publisher: Columbia University Press
ISBN: 0231541430
Category : Business & Economics
Languages : en
Pages : 203

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Book Description
Widely used since the mid-twentieth century, GDP (gross domestic product) has become the world's most powerful statistical indicator of national development and progress. Practically all governments adhere to the idea that GDP growth is a primary economic target, and while criticism of this measure has grown, neither its champions nor its detractors deny its central importance in our political culture. In The Power of a Single Number, Philipp Lepenies recounts the lively history of GDP's political acceptance—and eventual dominance. Locating the origins of GDP measurements in Renaissance England, Lepenies explores the social and political factors that originally hindered its use. It was not until the early 1900s that an ingenuous lone-wolf economist revived and honed GDP's statistical approach. These ideas were then extended by John Maynard Keynes, and a more focused study of national income was born. American economists furthered this work by emphasizing GDP's ties to social well-being, setting the stage for its ascent. GDP finally achieved its singular status during World War II, assuming the importance it retains today. Lepenies's absorbing account helps us understand the personalities and popular events that propelled GDP to supremacy and clarifies current debates over the wisdom of the number's rule.

Author: Michael R. Eades
Publisher: Bantam
ISBN: 030757380X
Category : Cooking
Languages : en
Pages : 289

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Book Description
Join the thousands who have experienced dramatic weight loss, lowered cholesterol, and improvement or reversal of the damages of heart disease, adult-onset diabetes, and other major diseases by following this medically proven program. Protein Power will teach you how to use food as a tool for • Dramatic and permanent weight loss • Resetting your metabolism and boosting your energy levels • Lowering your “bad” cholesterol levels while elevating the “good” • Protecting yourself from “The Deadly Diseases of Civilization” (including high blood pressure and heart disease) And best of all, Protein Power encourages you to • Eat the foods you love, including meats (even steaks, bacon, and burgers), cheeses, and eggs • Rethink the current wisdom on fat intake (science has shown that fat does not make you fat!) • Stop shocking your body with breads, pastas, and other fat-inducing carbohydrates So prepare yourself for the most dramatic life-enhancing diet program available!

Author: Ezra Brown
Publisher: American Mathematical Soc.
ISBN: 1470465094
Category : Education
Languages : en
Pages : 353

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Book Description
Combinatorics, or the art and science of counting, is a vibrant and active area of pure mathematical research with many applications. The Unity of Combinatorics succeeds in showing that the many facets of combinatorics are not merely isolated instances of clever tricks but that they have numerous connections and threads weaving them together to form a beautifully patterned tapestry of ideas. Topics include combinatorial designs, combinatorial games, matroids, difference sets, Fibonacci numbers, finite geometries, Pascal's triangle, Penrose tilings, error-correcting codes, and many others. Anyone with an interest in mathematics, professional or recreational, will be sure to find this book both enlightening and enjoyable. Few mathematicians have been as active in this area as Richard Guy, now in his eighth decade of mathematical productivity. Guy is the author of over 300 papers and twelve books in geometry, number theory, graph theory, and combinatorics. In addition to being a life-long number-theorist and combinatorialist, Guy's co-author, Ezra Brown, is a multi-award-winning expository writer. Together, Guy and Brown have produced a book that, in the spirit of the founding words of the Carus book series, is accessible “not only to mathematicians but to scientific workers and others with a modest mathematical background.”

Author: Alexander Hamilton
Publisher: Read Books Ltd
ISBN: 1528785878
Category : History
Languages : en
Pages : 420

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Book Description
Classic Books Library presents this brand new edition of “The Federalist Papers”, a collection of separate essays and articles compiled in 1788 by Alexander Hamilton. Following the United States Declaration of Independence in 1776, the governing doctrines and policies of the States lacked cohesion. “The Federalist”, as it was previously known, was constructed by American statesman Alexander Hamilton, and was intended to catalyse the ratification of the United States Constitution. Hamilton recruited fellow statesmen James Madison Jr., and John Jay to write papers for the compendium, and the three are known as some of the Founding Fathers of the United States. Alexander Hamilton (c. 1755–1804) was an American lawyer, journalist and highly influential government official. He also served as a Senior Officer in the Army between 1799-1800 and founded the Federalist Party, the system that governed the nation’s finances. His contributions to the Constitution and leadership made a significant and lasting impact on the early development of the nation of the United States.

Author: Michael Meyerson
Publisher: W. W. Norton & Company
ISBN: 9780393041729
Category : Mathematics
Languages : en
Pages : 304

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Book Description
From the impossibility of a perfectly democratic vote to a clarifying model for affirmative action debates, constitutional law professor and math enthusiast Michael Meyerson "provides an engaging and unusual perspective on the no-man's land between mathematics and the law" (John Allen Paulos). In thoroughly accessible and entertaining terms, Meyerson shows how the principle of probability influenced the outcomes of the O. J. Simpson trials; makes a convincing case for the mathematical virtues of the electoral college; uses game theory to explain the federal government's shifting balance of power; relates the concept of infinity to the heated abortion debate; and uses topology and chaos theory to explain how our Constitution has successfully survived social and political change.