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E-book
Author Nair, Jayakrishnan, author

Title The fundamentals of heavy tails : properties, emergence, and estimation / Jayakrishnan Nair, Adam Wierman, Bert Zwart
Published Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022
©2022

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Description 1 online resource
Series Cambridge series in statistical and probabilistic mathematics ; 53
Cambridge series on statistical and probabilistic mathematics ; 53.
Summary 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
Notes Online resource; title from digital title page (viewed on May 23, 2022)
Subject Distribution (Probability theory) -- Mathematical models
Distribution (Probability theory) -- Mathematical models
Form Electronic book
Author Wierman, Adam, author
Zwart, Bert, author
ISBN 9781009053730
1009053736