Advances in Heavy Tailed Risk Modeling

A Handbook of Operational Risk

Gareth W. Peters, Pavel V. Shevchenko

• Publisher: Wiley
• Year: 2015
• Print ISBN: 9781118909539
• eBook ISBN: 9781118909546
• Edition: 1
• Topic: Matemáticas
• Subtopic: Finanzas

ADVANCES IN HEAVY TAILED RISK MODELING

A cutting-edge guide for the theories, applications, and statistical methodologies essential to heavy tailed risk modeling

Focusing on the quantitative aspects of heavy tailed loss processes in operational risk and relevant insurance analytics, Advances in Heavy Tailed Risk Modeling: A Handbook of Operational Risk presents comprehensive coverage of the latest research on the theories and applications in risk measurement and modeling techniques. Featuring a unique balance of mathematical and statistical perspectives, the handbook begins by introducing the motivation for heavy tailed risk processes.

A companion with Fundamental Aspects of Operational Risk and Insurance Analytics: A Handbook of Operational Risk, the handbook provides a complete framework for all aspects of operational risk management and includes:

• Clear coverage on advanced topics such as splice loss models, extreme value theory, heavy tailed closed form loss distribution approach models, flexible heavy tailed risk models, risk measures, and higher order asymptotic approximations of risk measures for capital estimation
• An exploration of the characterization and estimation of risk and insurance modeling, which includes sub-exponential models, alpha-stable models, and tempered alpha stable models
• An extended discussion of the core concepts of risk measurement and capital estimation as well as the details on numerical approaches to evaluation of heavy tailed loss process model capital estimates
• Numerous detailed examples of real-world methods and practices of operational risk modeling used by both financial and non-financial institutions

Advances in Heavy Tailed Risk Modeling: A Handbook of Operational Risk is an excellent reference for risk management practitioners, quantitative analysts, financial engineers, and risk managers. The handbook is also useful for graduate-level courses on heavy tailed processes, advanced risk management, and actuarial science.

Table of contents

• Cover
• Title Page
• Copyright
• Table of Contents
• Dedication
• Preface
• Acronyms
• Symbols
• List of Distributions
• Chapter One: Motivation for Heavy-Tailed Models
• Chapter Two: Fundamentals of Extreme Value Theory for OpRisk
• Chapter Three: Heavy-Tailed Model Class Characterizations for LDA
• Chapter Four: Flexible Heavy-Tailed Severity Models: α-Stable Family
• Chapter Five: Flexible Heavy-Tailed Severity Models: Tempered Stable and Quantile Transforms
• Chapter Six: Families of Closed-Form Single Risk LDA Models
• Chapter Seven: Single Risk Closed-Form Approximations of Asymptotic Tail Behaviour
• Chapter Eight: Single Loss Closed-Form Approximations of Risk Measures
• Chapter Nine: Recursions for Distributions of LDA Models
• Appendix A: Miscellaneous Definitions and List of Distributions
• References
• Index
• End User License Agreement