Statistical Consequences of Fat Tails (Taleb)
Fundamental reading for understanding the limitations of standard models and the severe impact of extreme, rare events.
Statistical Consequences of Fat Tails
This monograph investigates the misapplication of conventional statistical techniques to fat-tailed distributions and proposes remedies. This third expanded edition includes three additional chapters and an appendix. The text serves as the first volume of the Technical Incerto, structured around published journal articles.
The Problem of Convergence
Traditional asymptotics typically focus on $n=1$ or $n=\infty$. In practice, the world operates under the laws of medium numbers, which vary across specific distributions. The law of large numbers and generalized central limit mechanisms function differently outside of standard Gaussian or Levy-Stable basins of convergence.