Bibliographic Information

Fluctuation theory for Lévy processes

Ronald A. Doney

(Lecture notes in mathematics, 1897 . École d'été de probabilités de Saint-Flour / editor, Jean Picard ; 35-2005)

Springer, c2007

Other Title

Fluctuation theory for Lévy processes, St. Flour 2005

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Note

Includes bibliographical references (p. [133]-137) and index

http://dx.doi.org/10.1007/978-3-540-48511-7

Description and Table of Contents

Description

Levy processes, that is, processes in continuous time with stationary and independent increments, form a flexible class of models, which have been applied to the study of storage processes, insurance risk, queues, turbulence, laser cooling, and of course finance, where they include particularly important examples having "heavy tails." Their sample path behaviour poses a variety of challenging and fascinating problems, which are addressed in detail.

Table of Contents

to Levy Processes.- Subordinators.- Local Times and Excursions.- Ladder Processes and the Wiener-Hopf Factorisation.- Further Wiener-Hopf Developments.- Creeping and Related Questions.- Spitzer's Condition.- Levy Processes Conditioned to Stay Positive.- Spectrally Negative Levy Processes.- Small-Time Behaviour.

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Details

  • NCID
    BA81695660
  • ISBN
    • 9783540485100
  • LCCN
    2007921692
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    ix, 147 p.
  • Size
    24 cm
  • Classification
  • Parent Bibliography ID
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