An introduction to heavy-tailed and subexponential distributions

著者

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

書誌事項

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

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注記

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

内容説明・目次

内容説明

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.

目次

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

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詳細情報

  • NII書誌ID(NCID)
    BB12810290
  • ISBN
    • 9781461471004
    • 9781489988324
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    xi, 157 p.
  • 大きさ
    24-25 cm
  • 分類
  • 件名
  • 親書誌ID
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