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The Fundamentals of Heavy Tails - Properties, Emergence, and Estimation (Hardcover)
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The Fundamentals of Heavy Tails - Properties, Emergence, and Estimation (Hardcover)
Series: Cambridge Series in Statistical and Probabilistic Mathematics
Expected to ship within 12 - 17 working days
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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.
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