Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- Part I Properties
- 2 Scale Invariance, Power Laws, and Regular Variation
- 3 Catastrophes, Conspiracies, and Subexponential Distributions
- 4 Residual Lives, Hazard Rates, and Long Tails
- Part II Emergence
- Part III Estimation
- Commonly Used Notation
- References
- Index
3 - Catastrophes, Conspiracies, and Subexponential Distributions
from Part I - Properties
Published online by Cambridge University Press: 17 May 2022
- Frontmatter
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- Part I Properties
- 2 Scale Invariance, Power Laws, and Regular Variation
- 3 Catastrophes, Conspiracies, and Subexponential Distributions
- 4 Residual Lives, Hazard Rates, and Long Tails
- Part II Emergence
- Part III Estimation
- Commonly Used Notation
- References
- Index
Summary
An introduction to the class of subexponential distributions and the important properties of this class, including the catastrophe principle. Examples applying subexponential distributions to random sums and random walks are included.
- Type
- Chapter
- Information
- The Fundamentals of Heavy TailsProperties, Emergence, and Estimation, pp. 56 - 84Publisher: Cambridge University PressPrint publication year: 2022