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The Logic and Statistics of Fat Tails

Author : Nassim Nicholas Taleb
Publisher : Penguin Press
Page : 256 pages
File Size : 20,83 MB
Release : 2019-04-04
Category :
ISBN : 9780141988368

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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.

Statistical Consequences of Fat Tails

Author : Nassim Nicholas Taleb
Publisher :
Page : pages
File Size : 24,3 MB
Release : 2020-06-30
Category :
ISBN : 9781544508054

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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.

Fooled by Randomness

Author : Nassim Nicholas Taleb
Publisher : Random House
Page : 369 pages
File Size : 19,55 MB
Release : 2008-10-14
Category : Business & Economics
ISBN : 1588367673

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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

Statistics Done Wrong

Author : Alex Reinhart
Publisher : No Starch Press
Page : 177 pages
File Size : 11,81 MB
Release : 2015-03-01
Category : Mathematics
ISBN : 1593276737

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Scientific progress depends on good research, and good research needs good statistics. But statistical analysis is tricky to get right, even for the best and brightest of us. You'd be surprised how many scientists are doing it wrong. Statistics Done Wrong is a pithy, essential guide to statistical blunders in modern science that will show you how to keep your research blunder-free. You'll examine embarrassing errors and omissions in recent research, learn about the misconceptions and scientific politics that allow these mistakes to happen, and begin your quest to reform the way you and your peers do statistics. You'll find advice on: –Asking the right question, designing the right experiment, choosing the right statistical analysis, and sticking to the plan –How to think about p values, significance, insignificance, confidence intervals, and regression –Choosing the right sample size and avoiding false positives –Reporting your analysis and publishing your data and source code –Procedures to follow, precautions to take, and analytical software that can help Scientists: Read this concise, powerful guide to help you produce statistically sound research. Statisticians: Give this book to everyone you know. The first step toward statistics done right is Statistics Done Wrong.

Using R for Introductory Statistics

Author : John Verzani
Publisher : CRC Press
Page : 522 pages
File Size : 28,25 MB
Release : 2018-10-03
Category : Computers
ISBN : 1315360306

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The second edition of a bestselling textbook, Using R for Introductory Statistics guides students through the basics of R, helping them overcome the sometimes steep learning curve. The author does this by breaking the material down into small, task-oriented steps. The second edition maintains the features that made the first edition so popular, while updating data, examples, and changes to R in line with the current version. See What’s New in the Second Edition: Increased emphasis on more idiomatic R provides a grounding in the functionality of base R. Discussions of the use of RStudio helps new R users avoid as many pitfalls as possible. Use of knitr package makes code easier to read and therefore easier to reason about. Additional information on computer-intensive approaches motivates the traditional approach. Updated examples and data make the information current and topical. The book has an accompanying package, UsingR, available from CRAN, R’s repository of user-contributed packages. The package contains the data sets mentioned in the text (data(package="UsingR")), answers to selected problems (answers()), a few demonstrations (demo()), the errata (errata()), and sample code from the text. The topics of this text line up closely with traditional teaching progression; however, the book also highlights computer-intensive approaches to motivate the more traditional approach. The authors emphasize realistic data and examples and rely on visualization techniques to gather insight. They introduce statistics and R seamlessly, giving students the tools they need to use R and the information they need to navigate the sometimes complex world of statistical computing.

Skin in the Game

Author : Nassim Nicholas Taleb
Publisher : Penguin UK
Page : 330 pages
File Size : 23,65 MB
Release : 2018-02-20
Category : Business & Economics
ISBN : 0241247489

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From the bestselling author of The Black Swan, a bold book that challenges many of our long-held beliefs about risk and reward, politics and religion, finance and personal responsibility 'Skin in the game means that you do not pay attention to what people say, only to what they do, and how much of their neck they are putting on the line' Citizens, artisans, police, fishermen, political activists and entrepreneurs all have skin in the game. Policy wonks, corporate executives, many academics, bankers and most journalists don't. It's all about having something to lose and sharing risks with others. In his most provocative and practical book yet, Nassim Nicholas Taleb shows that skin in the game, often seen as the foundation of risk management, in fact applies to all aspects of our lives. In his inimitable style, Taleb draws on everything from Antaeus the Giant to Hammurabi to Donald Trump, from ethics to used car salesmen, to create a jaw-dropping framework for understanding this idea. Among his insights: For social justice, focus on symmetry and risk sharing. Minorities, not majorities, run the world. You can be an intellectual yet still be an idiot. Beware of complicated solutions (that someone was paid to find). Just as The Black Swan did during the 2007 financial crisis, Skin in the Game comes at precisely the right moment to challenge our long-held beliefs about risk, reward, politics, religion and business - and make us rethink everything we thought we knew.

Statistical Rethinking

Author : Richard McElreath
Publisher : CRC Press
Page : 488 pages
File Size : 27,37 MB
Release : 2018-01-03
Category : Mathematics
ISBN : 1315362619

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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.

The R Book

Author : Michael J. Crawley
Publisher : John Wiley & Sons
Page : 953 pages
File Size : 37,27 MB
Release : 2007-06-13
Category : Mathematics
ISBN : 9780470515068

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The high-level language of R is recognized as one of the mostpowerful and flexible statistical software environments, and israpidly becoming the standard setting for quantitative analysis,statistics and graphics. R provides free access to unrivalledcoverage and cutting-edge applications, enabling the user to applynumerous statistical methods ranging from simple regression to timeseries or multivariate analysis. Building on the success of the author’s bestsellingStatistics: An Introduction using R, The R Book ispacked with worked examples, providing an all inclusive guide to R,ideal for novice and more accomplished users alike. The bookassumes no background in statistics or computing and introduces theadvantages of the R environment, detailing its applications in awide range of disciplines. Provides the first comprehensive reference manual for the Rlanguage, including practical guidance and full coverage of thegraphics facilities. Introduces all the statistical models covered by R, beginningwith simple classical tests such as chi-square and t-test. Proceeds to examine more advance methods, from regression andanalysis of variance, through to generalized linear models,generalized mixed models, time series, spatial statistics,multivariate statistics and much more. The R Book is aimed at undergraduates, postgraduates andprofessionals in science, engineering and medicine. It is alsoideal for students and professionals in statistics, economics,geography and the social sciences.

A New Heuristic Measure of Fragility and Tail Risks

Author : Mr.Nassim N. Taleb
Publisher : International Monetary Fund
Page : 24 pages
File Size : 15,22 MB
Release : 2012-08-01
Category : Business & Economics
ISBN : 1475505663

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This paper presents a simple heuristic measure of tail risk, which is applied to individual bank stress tests and to public debt. Stress testing can be seen as a first order test of the level of potential negative outcomes in response to tail shocks. However, the results of stress testing can be misleading in the presence of model error and the uncertainty attending parameters and their estimation. The heuristic can be seen as a second order stress test to detect nonlinearities in the tails that can lead to fragility, i.e., provide additional information on the robustness of stress tests. It also shows how the measure can be used to assess the robustness of public debt forecasts, an important issue in many countries. The heuristic measure outlined here can be used in a variety of situations to ascertain an ordinal ranking of fragility to tail risks.

Incerto 4-Book Bundle

Author : Nassim Nicholas Taleb
Publisher : Random House
Page : 1377 pages
File Size : 50,63 MB
Release : 2016-01-26
Category : Business & Economics
ISBN : 0812997697

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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.