Table of Contents:
  • Introduction
  • [Part I. Crash Courses.] Crash course I: Regular variation
  • Crash course II: Weak convergence; implications for heavy-tail analysis
  • [Part II. Statistics.] Dipping a toe in the statistical water
  • [Part III. Probability.] The Poisson process
  • Multivariate regular variation and the Poisson transform
  • Weak convergence and the Poisson process
  • Applied probability models and heavy tails
  • [Part IV. More statistics.] Additional statistics topics
  • [Part V. Appendices.] Notation and conventions
  • Software.