An Introduction to heavy-tailed and subexponential distributions

Serguei Foss, Dmitry Korshunov, Stanley Zachary

Research output: Book/ReportBook

Abstract

Provides a complete and comprehensive introduction to the theory of long tailed and subexponential distributions
Expanded text features new exercises and numerous examples
Includes preliminary mathematical material
Heavy-tailed probability distributions are an important component in the modeling of many stochastic systems. They are frequently used to accurately model inputs and outputs of computer and data networks and service facilities such as call centers. They are an essential for describing risk processes in finance and also for insurance premia pricing, and such distributions occur naturally in models of epidemiological spread. The class includes distributions with power law tails such as the Pareto, as well as the lognormal and certain Weibull distributions.



One of the highlights of this new edition is that it includes problems at the end of each chapter. Chapter 5 is also updated to include interesting applications to queueing theory, risk, and branching processes. New results are presented in a simple, coherent and systematic way.

Graduate students as well as modelers in the fields of finance, insurance, network science and environmental studies will find this book to be an essential referenc
Original languageEnglish
Place of PublicationNew York
PublisherSpringer
Number of pages157
Edition2nd
ISBN (Electronic)978-1-4614-7101-1
ISBN (Print)978-1-4614-7100-4
DOIs
Publication statusPublished - 2013

Publication series

NameSpringer Series in Operations Research and Financial Engineering

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    Foss, S., Korshunov, D., & Zachary, S. (2013). An Introduction to heavy-tailed and subexponential distributions. (2nd ed.) (Springer Series in Operations Research and Financial Engineering ). Springer. https://doi.org/10.1007/978-1-4614-7101-1