The fundamentals of heavy tails : properties, emergence, and estimation / Jayakrishnan Nair, Adam Wierman, Bert Zwart.

Format:

Book

Author/Creator:

Nair, Jayakrishnan, author.

Wierman, Adam, author.

Zwart, Bert, author.

Series:

Cambridge series on statistical and probabilistic mathematics ; 53.

Cambridge series in statistical and probabilistic mathematics ; 53

Language:

English

Subjects (All):

Distribution (Probability theory)--Mathematical models.

Distribution (Probability theory).

Physical Description:

1 online resource (xiv, 250 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2022.

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:

Title from publisher's bibliographic system (viewed on 07 Apr 2022).

Other Format:

Print version:

ISBN:

9781009053730 (ebook)

Access Restriction:

Restricted for use by site license.