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Mathematics - Probability Theory and Stochastic Processes | An Introduction to Heavy-Tailed and Subexponential Distributions

An Introduction to Heavy-Tailed and Subexponential Distributions

Foss, Sergey, Korshunov, Dmitry, Zachary, Stan

2nd ed. 2013, XI, 157 p. 2 illus.

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  • 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 reference.

Content Level » Graduate

Keywords » environmental modeling - financial modeling - lognormal distribution - long-tailed distribution - pareto distribution

Related subjects » Business, Economics & Finance - Complexity - Probability Theory and Stochastic Processes

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