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
4 - Residual Lives, Hazard Rates, and Long Tails
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 long-tailed distributions and the important properties of this class, including properties of the hazard rate and the residual life distribution. Examples applying long-tailed distributions to random extrema are included.
- Type
- Chapter
- Information
- The Fundamentals of Heavy TailsProperties, Emergence, and Estimation, pp. 85 - 104Publisher: Cambridge University PressPrint publication year: 2022