Andreas E. Kyprianou

Introductory Lectures on Fluctuations of Lévy Processes with Applications (eBook, PDF)

• Format: PDF

Produktbeschreibung

Lévy processes are the natural continuous-time analogue of random walks; they form a rich class of stochastic processes around which a robust mathematical theory exists. Their mathematical significance is evident in their application in many areas of classical and modern stochastic models, including storage models, renewal processes, insurance risk models, optimal stopping problems, mathematical finance and continuous-state branching processes. This book aims to be mathematically rigourous while still providing an intuitive feel for underlying principles. The results and applications often focus on the case of Lévy processes with jumps in only one direction, for which recent theoretical advances have yielded a higher degree of mathematical transparency and explicitness. Each chapter includes a comprehensive set of exercises with complete solutions.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 378
• Erscheinungstermin: 18. Dezember 2006
• Englisch
• ISBN-13: 9783540313434
• Artikelnr.: 44222779

Autorenporträt

Andreas Kyprianou has a degree in Mathematics from the University of Oxford and a Ph.D. in Probability Theory from The University of Sheffield. He is currently a Professor of Probability at the University of Bath, having held academic positions in Mathematics and Statistics Departments at the London School of Economics, Edinburgh University, Utrecht University and Heriot-Watt University, besides working for nearly two years as a research mathematician in the oil industry. His research is focused on pure and applied probability.