TY  - BOOK
AU  - Nair,Jayakrishnan
AU  - Wierman,Adam
AU  - Zwart,Bert
TI  - The fundamentals of heavy tails: properties, emergence, and estimation 
T2  - Cambridge series in statistical and probabilistic mathematics
SN  - 9781009053730 (ebook)
AV  - QA273.6 .N35 2022
U1  - 519.24 23
PY  - 2022///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Distribution (Probability theory)
KW  - Mathematical models
N1  - Title from publisher's bibliographic system (viewed on 07 Apr 2022)
N2  - 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
UR  - https://doi.org/10.1017/9781009053730
ER  -