An Introduction to Heavy-Tailed and Subexponential Distributions¶
Foss, S., Korshunov, & Zachary, S. (2011). An Introduction to Heavy-Tailed and Subexponential Distributions. Springer.
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Primes¶
- Heavy-Tailed Distributions
- A heavy-tailed distribution is one whose probability mass in the extremes decays slowly — far more slowly than the exponential or Gaussian — so that rare, very large events are not negligible but instead dominate sums, averages, and totals.
This sourceDefines heavy-tailed and subexponential distributions: probability mass in the extremes decays sub-exponentially so rare large events are non-negligible and dominate sums (supporting D54-511), and separates this tail-shape property from finite-variance spread (D54-516).
Supported in partVerified against the publisher's abstract
The monograph is the standard reference that defines heavy-tailed, long-tailed and subexponential distributions and treats tail properties of their sums, but its abstract states no comparison with exponential or Gaussian decay.
“It gives precise definitions to common terms such as heavy-tailed and long-tailed, as well as more esoteric terms such as subexponential or h-insensitive.”
- A heavy-tailed distribution is one whose probability mass in the extremes decays slowly — far more slowly than the exponential or Gaussian — so that rare, very large events are not negligible but instead dominate sums, averages, and totals.
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