Levy Processes and Infinitely Divisible Distributions

Klappentext
This book provides the reader with comprehensive basic knowledge of L vy processes.


Zusammenfassung
Lévy processes are perhaps the most basic class of stochastic processes with a continuous time parameter. This book provides the reader with comprehensive basic knowledge of Lévy processes, and at the same time serves as an introduction to stochastic processes in general.

Inhalt
Preface; Remarks on notation; 1. Basic examples; 2. Characterization and existence of Lévy and additive processes; 3. Stable processes and their extensions; 4. The Lévy-Itô decomposition of sample functions; 5. Distributional properties of Lévy processes; 6. Subordination and density transformation; 7. Recurrence and transience; 8. Potential theory for Lévy processes; 9. Wiener-Hopf factorizations; 10. More distributional properties; Solutions to exercises; References and author index; Subject index.

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