Statistical Consequences of Fat Tails

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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.

Statistical Consequences of Fat Tails

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.2/5 (182 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 2023-07-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph 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 of 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 "naive 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 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.

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, Statistics, and Truth

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Publisher : Courier Corporation
ISBN 13 : 0486242145
Total Pages : 273 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Probability, Statistics, and Truth by : Richard Von Mises

Download or read book Probability, Statistics, and Truth written by Richard Von Mises and published by Courier Corporation. This book was released on 1981-01-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive study of probability considers the approaches of Pascal, Laplace, Poisson, and others. It also discusses Laws of Large Numbers, the theory of errors, and other relevant topics.

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

Probability Theory

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Publisher : Academic Press
ISBN 13 : 1483218635
Total Pages : 296 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Probability Theory by : L. E. Maistrov

Download or read book Probability Theory written by L. E. Maistrov and published by Academic Press. This book was released on 2014-07-03 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability Theory: A Historical Sketch covers the probability theory, mainly axiomatization problems. The book discusses the prehistory of the probability theory; the first stage in the development of probability theory; and the development of probability theory to the middle of the 19th century. The text also describes the probability theory in the second half of the 19th century; and the axiomatic foundations of the probability theory. Historians and mathematicians will find the book invaluable.

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.

Antifragile

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Publisher : Random House Trade Paperbacks
ISBN 13 : 0812979680
Total Pages : 546 pages
Book Rating : 4.8/5 (129 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 Trade Paperbacks. This book was released on 2014-01-28 with total page 546 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

Incerto 4-Book Bundle

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Publisher : Random House
ISBN 13 : 0812997697
Total Pages : 1253 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 1253 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 : 1315362619
Total Pages : 488 pages
Book Rating : 4.3/5 (153 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 488 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.

Seismic Amplitude Interpretation

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Publisher : SEG Books
ISBN 13 : 1560801093
Total Pages : 246 pages
Book Rating : 4.5/5 (68 download)

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Book Synopsis Seismic Amplitude Interpretation by : Fred J. Hilterman

Download or read book Seismic Amplitude Interpretation written by Fred J. Hilterman and published by SEG Books. This book was released on 2001 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addresses the methodology of an amplitude interpretation and the subsequent benefits and limitations expected in rock-property settings. Included are relationships between rock properties and geophysical observations, practical problems, field examples, general rules, and case histories.

Forecast

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Publisher : A&C Black
ISBN 13 : 1408827379
Total Pages : 273 pages
Book Rating : 4.4/5 (88 download)

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Book Synopsis Forecast by : Mark Buchanan

Download or read book Forecast written by Mark Buchanan and published by A&C Black. This book was released on 2013-01-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Positive feedback--when A produces B, which in turn produces even more A--drives not only abrupt climate changes, but also disruptive events in economics and finance, from asset bubbles to debt crises, bank runs, even corporate corruption. But economists, with few exceptions, have ignored this reality for fifty years, holding on to the unreasonable belief in the wisdom of the market. It's past time to be asking how markets really work. Can we replace economic magical thinking with a better means of predicting what the financial future holds, in order to prepare for--or even avoid--the next extreme economic event? Here, physicist and acclaimed science writer Mark Buchanan answers these questions and more in a master lesson on a smarter economics, which accepts that markets act much like weather. Market instability is as natural--and dangerous--as a prairie twister. With Buchanan's help, perhaps we can better govern the markets and weather their storms.

Mixed Effects Models for Complex Data

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Publisher : CRC Press
ISBN 13 : 9781420074086
Total Pages : 431 pages
Book Rating : 4.0/5 (74 download)

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Book Synopsis Mixed Effects Models for Complex Data by : Lang Wu

Download or read book Mixed Effects Models for Complex Data written by Lang Wu and published by CRC Press. This book was released on 2009-11-11 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although standard mixed effects models are useful in a range of studies, other approaches must often be used in correlation with them when studying complex or incomplete data. Mixed Effects Models for Complex Data discusses commonly used mixed effects models and presents appropriate approaches to address dropouts, missing data, measurement errors, censoring, and outliers. For each class of mixed effects model, the author reviews the corresponding class of regression model for cross-sectional data. An overview of general models and methods, along with motivating examples After presenting real data examples and outlining general approaches to the analysis of longitudinal/clustered data and incomplete data, the book introduces linear mixed effects (LME) models, generalized linear mixed models (GLMMs), nonlinear mixed effects (NLME) models, and semiparametric and nonparametric mixed effects models. It also includes general approaches for the analysis of complex data with missing values, measurement errors, censoring, and outliers. Self-contained coverage of specific topics Subsequent chapters delve more deeply into missing data problems, covariate measurement errors, and censored responses in mixed effects models. Focusing on incomplete data, the book also covers survival and frailty models, joint models of survival and longitudinal data, robust methods for mixed effects models, marginal generalized estimating equation (GEE) models for longitudinal or clustered data, and Bayesian methods for mixed effects models. Background material In the appendix, the author provides background information, such as likelihood theory, the Gibbs sampler, rejection and importance sampling methods, numerical integration methods, optimization methods, bootstrap, and matrix algebra. Failure to properly address missing data, measurement errors, and other issues in statistical analyses can lead to severely biased or misleading results. This book explores the biases that arise when naïve methods are used and shows which approaches should be used to achieve accurate results in longitudinal data analysis.

Statistics Done Wrong

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Publisher : No Starch Press
ISBN 13 : 1593276206
Total Pages : 177 pages
Book Rating : 4.5/5 (932 download)

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Book Synopsis Statistics Done Wrong by : Alex Reinhart

Download or read book Statistics Done Wrong written by Alex Reinhart and published by No Starch Press. This book was released on 2015-03-01 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.