Statistical Consequences of Fat Tails

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Publisher :
ISBN 13 : 9781544508054
Total Pages : pages
Book Rating : 4.5/5 (8 download)

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Book Synopsis Statistical Consequences of Fat Tails by : Nassim Nicholas Taleb

Download or read book Statistical Consequences of Fat Tails written by Nassim Nicholas Taleb and published by . This book was released on 2020-06-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The book investigates the misapplication of conventional statistical techniques to fat tailed distributions and looks for remedies, when possible. Switching from thin tailed to fat tailed distributions requires more than "changing the color of the dress." Traditional asymptotics deal mainly with either n=1 or n=∞, and the real world is in between, under the "laws of the medium numbers"-which vary widely across specific distributions. Both the law of large numbers and the generalized central limit mechanisms operate in highly idiosyncratic ways outside the standard Gaussian or Levy-Stable basins of convergence. A few examples: - The sample mean is rarely in line with the population mean, with effect on "naïve empiricism," but can be sometimes be estimated via parametric methods. - The "empirical distribution" is rarely empirical. - Parameter uncertainty has compounding effects on statistical metrics. - Dimension reduction (principal components) fails. - Inequality estimators (Gini or quantile contributions) are not additive and produce wrong results. - Many "biases" found in psychology become entirely rational under more sophisticated probability distributions. - Most of the failures of financial economics, econometrics, and behavioral economics can be attributed to using the wrong distributions. This book, the first volume of the Technical Incerto, weaves a narrative around published journal articles.

Dynamic Hedging

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Publisher : John Wiley & Sons
ISBN 13 : 9780471152804
Total Pages : 536 pages
Book Rating : 4.1/5 (528 download)

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Book Synopsis Dynamic Hedging by : Nassim Nicholas Taleb

Download or read book Dynamic Hedging written by Nassim Nicholas Taleb and published by John Wiley & Sons. This book was released on 1997-01-14 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Destined to become a market classic, Dynamic Hedging is the only practical reference in exotic options hedgingand arbitrage for professional traders and money managers Watch the professionals. From central banks to brokerages to multinationals, institutional investors are flocking to a new generation of exotic and complex options contracts and derivatives. But the promise of ever larger profits also creates the potential for catastrophic trading losses. Now more than ever, the key to trading derivatives lies in implementing preventive risk management techniques that plan for and avoid these appalling downturns. Unlike other books that offer risk management for corporate treasurers, Dynamic Hedging targets the real-world needs of professional traders and money managers. Written by a leading options trader and derivatives risk advisor to global banks and exchanges, this book provides a practical, real-world methodology for monitoring and managing all the risks associated with portfolio management. Nassim Nicholas Taleb is the founder of Empirica Capital LLC, a hedge fund operator, and a fellow at the Courant Institute of Mathematical Sciences of New York University. He has held a variety of senior derivative trading positions in New York and London and worked as an independent floor trader in Chicago. Dr. Taleb was inducted in February 2001 in the Derivatives Strategy Hall of Fame. He received an MBA from the Wharton School and a Ph.D. from University Paris-Dauphine.

Incerto

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Publisher : Random House Trade
ISBN 13 : 059324365X
Total Pages : 1873 pages
Book Rating : 4.5/5 (932 download)

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Book Synopsis Incerto by : Nassim Nicholas Taleb

Download or read book Incerto written by Nassim Nicholas Taleb and published by Random House Trade. This book was released on 2021-05-04 with total page 1873 pages. Available in PDF, EPUB and Kindle. Book excerpt: The landmark five-book series--all together in one boxed set The Incerto is an investigation of opacity, luck, uncertainty, probability, human error, risk, and decision making when we don't understand the world, expressed in the form of a personal essay with autobiographical sections, stories, parables, and philosophical, historical, and scientific discussions, in non-overlapping volumes that can be accessed in any order. The main thread is that while there is inordinate uncertainty about what is going on, there is great certainty as to what one should do about it. This boxed set includes: FOOLED BY RANDOMNESS THE BLACK SWAN THE BED OF PROCRUSTES ANTIFRAGILE SKIN IN THE GAME

The Fundamentals of Heavy Tails

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Publisher : Cambridge University Press
ISBN 13 : 1009062964
Total Pages : 266 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis The Fundamentals of Heavy Tails by : Jayakrishnan Nair

Download or read book The Fundamentals of Heavy Tails written by Jayakrishnan Nair and published by Cambridge University Press. This book was released on 2022-06-09 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heavy tails –extreme events or values more common than expected –emerge everywhere: the economy, natural events, and social and information networks are just a few examples. Yet after decades of progress, they are still treated as mysterious, surprising, and even controversial, primarily because the necessary mathematical models and statistical methods are not widely known. This book, for the first time, provides a rigorous introduction to heavy-tailed distributions accessible to anyone who knows elementary probability. It tackles and tames the zoo of terminology for models and properties, demystifying topics such as the generalized central limit theorem and regular variation. It tracks the natural emergence of heavy-tailed distributions from a wide variety of general processes, building intuition. And it reveals the controversy surrounding heavy tails to be the result of flawed statistics, then equips readers to identify and estimate with confidence. Over 100 exercises complete this engaging package.

Probability Inequalities in Multivariate Distributions

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Publisher : Academic Press
ISBN 13 : 1483269213
Total Pages : 255 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Probability Inequalities in Multivariate Distributions by : Y. L. Tong

Download or read book Probability Inequalities in Multivariate Distributions written by Y. L. Tong and published by Academic Press. This book was released on 2014-07-10 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability Inequalities in Multivariate Distributions is a comprehensive treatment of probability inequalities in multivariate distributions, balancing the treatment between theory and applications. The book is concerned only with those inequalities that are of types T1-T5. The conditions for such inequalities range from very specific to very general. Comprised of eight chapters, this volume begins by presenting a classification of probability inequalities, followed by a discussion on inequalities for multivariate normal distribution as well as their dependence on correlation coefficients. The reader is then introduced to inequalities for other well-known distributions, including the multivariate distributions of t, chi-square, and F; inequalities for a class of symmetric unimodal distributions and for a certain class of random variables that are positively dependent by association or by mixture; and inequalities obtainable through the mathematical tool of majorization and weak majorization. The book also describes some distribution-free inequalities before concluding with an overview of their applications in simultaneous confidence regions, hypothesis testing, multiple decision problems, and reliability and life testing. This monograph is intended for mathematicians, statisticians, students, and those who are primarily interested in inequalities.

Martingale Limit Theory and Its Application

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Publisher : Academic Press
ISBN 13 : 1483263223
Total Pages : 320 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Martingale Limit Theory and Its Application by : P. Hall

Download or read book Martingale Limit Theory and Its Application written by P. Hall and published by Academic Press. This book was released on 2014-07-10 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Martingale Limit Theory and Its Application discusses the asymptotic properties of martingales, particularly as regards key prototype of probabilistic behavior that has wide applications. The book explains the thesis that martingale theory is central to probability theory, and also examines the relationships between martingales and processes embeddable in or approximated by Brownian motion. The text reviews the martingale convergence theorem, the classical limit theory and analogs, and the martingale limit theorems viewed as the rate of convergence results in the martingale convergence theorem. The book explains the square function inequalities, weak law of large numbers, as well as the strong law of large numbers. The text discusses the reverse martingales, martingale tail sums, the invariance principles in the central limit theorem, and also the law of the iterated logarithm. The book investigates the limit theory for stationary processes via corresponding results for approximating martingales and the estimation of parameters from stochastic processes. The text can be profitably used as a reference for mathematicians, advanced students, and professors of higher mathematics or statistics.

The Logic and Statistics of Fat Tails

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Publisher : Penguin Press
ISBN 13 : 9780141988368
Total Pages : 256 pages
Book Rating : 4.9/5 (883 download)

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Book Synopsis The Logic and Statistics of Fat Tails by : Nassim Nicholas Taleb

Download or read book The Logic and Statistics of Fat Tails written by Nassim Nicholas Taleb and published by Penguin Press. This book was released on 2019-04-04 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Logic and Statistics of Fat Tails is the definitive source on fat-tailed distribution and an essential technical read for students, accountants and those working in finance.

Elements of Probability Theory

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Publisher : Elsevier
ISBN 13 : 1483136000
Total Pages : 172 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Elements of Probability Theory by : L. Z. Rumshiskii

Download or read book Elements of Probability Theory written by L. Z. Rumshiskii and published by Elsevier. This book was released on 2016-06-06 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Probability Theory focuses on the basic ideas and methods of the theory of probability. The book first discusses events and probabilities, including the classical meaning of probability, fundamental properties of probabilities, and the primary rule for the multiplication of probabilities. The text also touches on random variables and probability distributions. Topics include discrete and random variables; functions of random variables; and binomial distributions. The selection also discusses the numerical characteristics of probability distributions; limit theorems and estimates of the mean; and the law of large numbers. The text also describes linear correlation, including conditional expectations and their properties, coefficient of correlation, and best linear approximation to the regression function. The book presents tables that show the values of the normal probability integral, Poisson distribution, and values of the normal probability density. The text is a good source of data for readers and students interested in probability theory.

Fooled by Randomness

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Publisher : Random House
ISBN 13 : 1588367673
Total Pages : 369 pages
Book Rating : 4.5/5 (883 download)

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Book Synopsis Fooled by Randomness by : Nassim Nicholas Taleb

Download or read book Fooled by Randomness written by Nassim Nicholas Taleb and published by Random House. This book was released on 2008-10-14 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fooled by Randomness is a standalone book in Nassim Nicholas Taleb’s landmark Incerto series, an investigation of opacity, luck, uncertainty, probability, human error, risk, and decision-making in a world we don’t understand. The other books in the series are The Black Swan, Antifragile, Skin in the Game, and The Bed of Procrustes. Fooled by Randomness is the word-of-mouth sensation that will change the way you think about business and the world. Nassim Nicholas Taleb–veteran trader, renowned risk expert, polymathic scholar, erudite raconteur, and New York Times bestselling author of The Black Swan–has written a modern classic that turns on its head what we believe about luck and skill. This book is about luck–or more precisely, about how we perceive and deal with luck in life and business. Set against the backdrop of the most conspicuous forum in which luck is mistaken for skill–the world of trading–Fooled by Randomness provides captivating insight into one of the least understood factors in all our lives. Writing in an entertaining narrative style, the author tackles major intellectual issues related to the underestimation of the influence of happenstance on our lives. The book is populated with an array of characters, some of whom have grasped, in their own way, the significance of chance: the baseball legend Yogi Berra; the philosopher of knowledge Karl Popper; the ancient world’s wisest man, Solon; the modern financier George Soros; and the Greek voyager Odysseus. We also meet the fictional Nero, who seems to understand the role of randomness in his professional life but falls victim to his own superstitious foolishness. However, the most recognizable character of all remains unnamed–the lucky fool who happens to be in the right place at the right time–he embodies the “survival of the least fit.” Such individuals attract devoted followers who believe in their guru’s insights and methods. But no one can replicate what is obtained by chance. Are we capable of distinguishing the fortunate charlatan from the genuine visionary? Must we always try to uncover nonexistent messages in random events? It may be impossible to guard ourselves against the vagaries of the goddess Fortuna, but after reading Fooled by Randomness we can be a little better prepared. Named by Fortune One of the Smartest Books of All Time A Financial Times Best Business Book of the Year

Statistical Theory and Modeling for Turbulent Flows

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Publisher : John Wiley & Sons
ISBN 13 : 1119957524
Total Pages : 347 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Statistical Theory and Modeling for Turbulent Flows by : P. A. Durbin

Download or read book Statistical Theory and Modeling for Turbulent Flows written by P. A. Durbin and published by John Wiley & Sons. This book was released on 2011-06-28 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a comprehensive grounding in the subject of turbulence, Statistical Theory and Modeling for Turbulent Flows develops both the physical insight and the mathematical framework needed to understand turbulent flow. Its scope enables the reader to become a knowledgeable user of turbulence models; it develops analytical tools for developers of predictive tools. Thoroughly revised and updated, this second edition includes a new fourth section covering DNS (direct numerical simulation), LES (large eddy simulation), DES (detached eddy simulation) and numerical aspects of eddy resolving simulation. In addition to its role as a guide for students, Statistical Theory and Modeling for Turbulent Flows also is a valuable reference for practicing engineers and scientists in computational and experimental fluid dynamics, who would like to broaden their understanding of fundamental issues in turbulence and how they relate to turbulence model implementation. Provides an excellent foundation to the fundamental theoretical concepts in turbulence. Features new and heavily revised material, including an entire new section on eddy resolving simulation. Includes new material on modeling laminar to turbulent transition. Written for students and practitioners in aeronautical and mechanical engineering, applied mathematics and the physical sciences. Accompanied by a website housing solutions to the problems within the book.

Probabilistic and Statistical Aspects of Quantum Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 8876423788
Total Pages : 324 pages
Book Rating : 4.8/5 (764 download)

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Book Synopsis Probabilistic and Statistical Aspects of Quantum Theory by : Alexander S. Holevo

Download or read book Probabilistic and Statistical Aspects of Quantum Theory written by Alexander S. Holevo and published by Springer Science & Business Media. This book was released on 2011-05-05 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to aspects of the foundations of quantum mechanics in which probabilistic and statistical concepts play an essential role. The main part of the book concerns the quantitative statistical theory of quantum measurement, based on the notion of positive operator-valued measures. During the past years there has been substantial progress in this direction, stimulated to a great extent by new applications such as Quantum Optics, Quantum Communication and high-precision experiments. The questions of statistical interpretation, quantum symmetries, theory of canonical commutation relations and Gaussian states, uncertainty relations as well as new fundamental bounds concerning the accuracy of quantum measurements, are discussed in this book in an accessible yet rigorous way. Compared to the first edition, there is a new Supplement devoted to the hidden variable issue. Comments and the bibliography have also been extended and updated.

Incerto 4-Book Bundle

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Publisher : Random House
ISBN 13 : 0812997697
Total Pages : 1377 pages
Book Rating : 4.8/5 (129 download)

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Book Synopsis Incerto 4-Book Bundle by : Nassim Nicholas Taleb

Download or read book Incerto 4-Book Bundle written by Nassim Nicholas Taleb and published by Random House. This book was released on 2016-01-26 with total page 1377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nassim Nicholas Taleb’s landmark Incerto series is an investigation of luck, uncertainty, probability, opacity, human error, risk, disorder, and decision-making in a world we don’t understand, in nonoverlapping and standalone books. All four volumes—Antifragile, The Black Swan, Fooled by Randomness, and the expanded edition of The Bed of Procrustes, updated with more than 50 percent new material—are now together in one ebook bundle. ANTIFRAGILE “Startling . . . richly crammed with insights, stories, fine phrases and intriguing asides.”—The Wall Street Journal Just as human bones get stronger when subjected to stress and tension, many things in life benefit from disorder, volatility, and turmoil. What Taleb has identified and calls “antifragile” is that category of things that not only gain from chaos but need it in order to survive and flourish. The resilient resists shocks and stays the same; the antifragile gets better and better. What is crucial is that the antifragile loves errors, as it incurs small harm and large benefits from them. Spanning politics, urban planning, war, personal finance, economic systems, and medicine in an interdisciplinary and erudite style, Antifragile is a blueprint for living in a Black Swan world. THE BLACK SWAN “[A book] that altered modern thinking.”—The Times (London) A black swan is a highly improbable event with three principal characteristics: It is unpredictable; it carries a massive impact; and, after the fact, we concoct an explanation that makes it appear less random and more predictable. The astonishing success of Google was a black swan; so was 9/11. In this groundbreaking and prophetic book, Taleb shows that black swan events underlie almost everything about our world, from the rise of religions to events in our own personal lives, and yet we—especially the experts—are blind to them. FOOLED BY RANDOMNESS “[Fooled by Randomness] is to conventional Wall Street wisdom approximately what Martin Luther’s ninety-five theses were to the Catholic Church.”—Malcolm Gladwell, The New Yorker Are we capable of distinguishing the fortunate charlatan from the genuine visionary? Must we always try to uncover nonexistent messages in random events? Fooled by Randomness is about luck: more precisely, about how we perceive luck in our personal and professional experiences. Set against the backdrop of the most conspicuous forum in which luck is mistaken for skill—the markets—Fooled by Randomness is an irreverent, eye-opening, and endlessly entertaining exploration of one of the least understood forces in our lives. THE BED OF PROCRUSTES “Taleb’s crystalline nuggets of thought stand alone like esoteric poems.”—Financial Times This collection of aphorisms and meditations expresses Taleb’s major ideas in ways you least expect. The Bed of Procrustes takes its title from Greek mythology: the story of a man who made his visitors fit his bed to perfection by either stretching them or cutting their limbs. With a rare combination of pointed wit and potent wisdom, Taleb plows through human illusions, contrasting the classical views of courage, elegance, and erudition against the modern diseases of nerdiness, philistinism, and phoniness.

Statistical Rethinking

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Publisher : CRC Press
ISBN 13 : 1482253488
Total Pages : 489 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Statistical Rethinking by : Richard McElreath

Download or read book Statistical Rethinking written by Richard McElreath and published by CRC Press. This book was released on 2018-01-03 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Rethinking: A Bayesian Course with Examples in R and Stan builds readers’ knowledge of and confidence in statistical modeling. Reflecting the need for even minor programming in today’s model-based statistics, the book pushes readers to perform step-by-step calculations that are usually automated. This unique computational approach ensures that readers understand enough of the details to make reasonable choices and interpretations in their own modeling work. The text presents generalized linear multilevel models from a Bayesian perspective, relying on a simple logical interpretation of Bayesian probability and maximum entropy. It covers from the basics of regression to multilevel models. The author also discusses measurement error, missing data, and Gaussian process models for spatial and network autocorrelation. By using complete R code examples throughout, this book provides a practical foundation for performing statistical inference. Designed for both PhD students and seasoned professionals in the natural and social sciences, it prepares them for more advanced or specialized statistical modeling. Web Resource The book is accompanied by an R package (rethinking) that is available on the author’s website and GitHub. The two core functions (map and map2stan) of this package allow a variety of statistical models to be constructed from standard model formulas.

Randomness

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Publisher : Harvard University Press
ISBN 13 : 9780674020771
Total Pages : 260 pages
Book Rating : 4.0/5 (27 download)

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Book Synopsis Randomness by : Deborah J. Bennett

Download or read book Randomness written by Deborah J. Bennett and published by Harvard University Press. This book was released on 2009-07-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the ancients' first readings of the innards of birds to your neighbor's last bout with the state lottery, humankind has put itself into the hands of chance. Today life itself may be at stake when probability comes into play--in the chance of a false negative in a medical test, in the reliability of DNA findings as legal evidence, or in the likelihood of passing on a deadly congenital disease--yet as few people as ever understand the odds. This book is aimed at the trouble with trying to learn about probability. A story of the misconceptions and difficulties civilization overcame in progressing toward probabilistic thinking, Randomness is also a skillful account of what makes the science of probability so daunting in our own day. To acquire a (correct) intuition of chance is not easy to begin with, and moving from an intuitive sense to a formal notion of probability presents further problems. Author Deborah Bennett traces the path this process takes in an individual trying to come to grips with concepts of uncertainty and fairness, and also charts the parallel path by which societies have developed ideas about chance. Why, from ancient to modern times, have people resorted to chance in making decisions? Is a decision made by random choice fair? What role has gambling played in our understanding of chance? Why do some individuals and societies refuse to accept randomness at all? If understanding randomness is so important to probabilistic thinking, why do the experts disagree about what it really is? And why are our intuitions about chance almost always dead wrong? Anyone who has puzzled over a probability conundrum is struck by the paradoxes and counterintuitive results that occur at a relatively simple level. Why this should be, and how it has been the case through the ages, for bumblers and brilliant mathematicians alike, is the entertaining and enlightening lesson of Randomness.

Antifragile

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Publisher : Random House
ISBN 13 : 0679645276
Total Pages : 545 pages
Book Rating : 4.6/5 (796 download)

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Book Synopsis Antifragile by : Nassim Nicholas Taleb

Download or read book Antifragile written by Nassim Nicholas Taleb and published by Random House. This book was released on 2012-11-27 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Antifragile is a standalone book in Nassim Nicholas Taleb’s landmark Incerto series, an investigation of opacity, luck, uncertainty, probability, human error, risk, and decision-making in a world we don’t understand. The other books in the series are Fooled by Randomness, The Black Swan, Skin in the Game, and The Bed of Procrustes. Nassim Nicholas Taleb, the bestselling author of The Black Swan and one of the foremost thinkers of our time, reveals how to thrive in an uncertain world. Just as human bones get stronger when subjected to stress and tension, and rumors or riots intensify when someone tries to repress them, many things in life benefit from stress, disorder, volatility, and turmoil. What Taleb has identified and calls “antifragile” is that category of things that not only gain from chaos but need it in order to survive and flourish. In The Black Swan, Taleb showed us that highly improbable and unpredictable events underlie almost everything about our world. In Antifragile, Taleb stands uncertainty on its head, making it desirable, even necessary, and proposes that things be built in an antifragile manner. The antifragile is beyond the resilient or robust. The resilient resists shocks and stays the same; the antifragile gets better and better. Furthermore, the antifragile is immune to prediction errors and protected from adverse events. Why is the city-state better than the nation-state, why is debt bad for you, and why is what we call “efficient” not efficient at all? Why do government responses and social policies protect the strong and hurt the weak? Why should you write your resignation letter before even starting on the job? How did the sinking of the Titanic save lives? The book spans innovation by trial and error, life decisions, politics, urban planning, war, personal finance, economic systems, and medicine. And throughout, in addition to the street wisdom of Fat Tony of Brooklyn, the voices and recipes of ancient wisdom, from Roman, Greek, Semitic, and medieval sources, are loud and clear. Antifragile is a blueprint for living in a Black Swan world. Erudite, witty, and iconoclastic, Taleb’s message is revolutionary: The antifragile, and only the antifragile, will make it. Praise for Antifragile “Ambitious and thought-provoking . . . highly entertaining.”—The Economist “A bold book explaining how and why we should embrace uncertainty, randomness, and error . . . It may just change our lives.”—Newsweek

Infinite Abelian Groups

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Publisher : Academic Press
ISBN 13 : 9780080873480
Total Pages : 289 pages
Book Rating : 4.8/5 (734 download)

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Book Synopsis Infinite Abelian Groups by :

Download or read book Infinite Abelian Groups written by and published by Academic Press. This book was released on 1970-01-01 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite Abelian Groups

Linear Models in Statistics

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Publisher : John Wiley & Sons
ISBN 13 : 0470192607
Total Pages : 690 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Linear Models in Statistics by : Alvin C. Rencher

Download or read book Linear Models in Statistics written by Alvin C. Rencher and published by John Wiley & Sons. This book was released on 2008-01-07 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to the theory and application of linear models—now in a valuable new edition Since most advanced statistical tools are generalizations of the linear model, it is neces-sary to first master the linear model in order to move forward to more advanced concepts. The linear model remains the main tool of the applied statistician and is central to the training of any statistician regardless of whether the focus is applied or theoretical. This completely revised and updated new edition successfully develops the basic theory of linear models for regression, analysis of variance, analysis of covariance, and linear mixed models. Recent advances in the methodology related to linear mixed models, generalized linear models, and the Bayesian linear model are also addressed. Linear Models in Statistics, Second Edition includes full coverage of advanced topics, such as mixed and generalized linear models, Bayesian linear models, two-way models with empty cells, geometry of least squares, vector-matrix calculus, simultaneous inference, and logistic and nonlinear regression. Algebraic, geometrical, frequentist, and Bayesian approaches to both the inference of linear models and the analysis of variance are also illustrated. Through the expansion of relevant material and the inclusion of the latest technological developments in the field, this book provides readers with the theoretical foundation to correctly interpret computer software output as well as effectively use, customize, and understand linear models. This modern Second Edition features: New chapters on Bayesian linear models as well as random and mixed linear models Expanded discussion of two-way models with empty cells Additional sections on the geometry of least squares Updated coverage of simultaneous inference The book is complemented with easy-to-read proofs, real data sets, and an extensive bibliography. A thorough review of the requisite matrix algebra has been addedfor transitional purposes, and numerous theoretical and applied problems have been incorporated with selected answers provided at the end of the book. A related Web site includes additional data sets and SAS® code for all numerical examples. Linear Model in Statistics, Second Edition is a must-have book for courses in statistics, biostatistics, and mathematics at the upper-undergraduate and graduate levels. It is also an invaluable reference for researchers who need to gain a better understanding of regression and analysis of variance.