An introduction to heavy-tailed and subexponential distributions

Author(s)

    • Foss, Sergey
    • Korshunov, Dmitry
    • Zachary, Stan

Bibliographic Information

An introduction to heavy-tailed and subexponential distributions

Sergey Foss, Dmitry Korshunov, Stan Zachary

(Springer series in operations research and financial engineering)

Springer, c2013

2nd ed

  • : softcover

Available at  / 11 libraries

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Note

Includes bibliographical references (p. 151-153) and index

Description and Table of Contents

Description

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.

Table of Contents

Preface.- Introduction.- Heavy- and long-tailed distributions.- Subexponential distributions.- Densities and local probabilities.- Maximum of random walks.- References.- Index.

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Details

  • NCID
    BB12810290
  • ISBN
    • 9781461471004
    • 9781489988324
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    xi, 157 p.
  • Size
    24-25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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