Boundary functionals for Levy processes and their applications - Softcover

Gusak, Dmytro

Softcover

ISBN 10: 365962540X ISBN 13: 9783659625404

Publisher: LAP LAMBERT Academic Publishing, 2014

Synopsis

The aim of this book is to summarize the obtained results of investigation of the boundary problems tied with distributions of boundary functionals for random processes and random walks with independent increments considered in the fluctuation theory and to draw attention to their connection with the risk theory. In the book special attention is paid to Levy processes with hyperexponentially distributed jumps. For them the unified prelimit and limit Pollaczeck-Khinchine formulas are established. They are used in the investigation of distributions of boundary functionals defining different characteristics of the risk and queueing processes. This monograph will be useful to the researchers working with probability theory and stochastic processes, in particular for those who deal with boundary problems for Levy processes and with their applications in risk theory, renewal theory, reliability theory, queueing theory, financial and actuarial mathematics, and in other applied areas. This book can be recommended to scientists, engineers, students, and post-graduate students of economical and mathematical specialities.

About this title

About the Author

Gusak Dmytro Vasylyovych is a former leading researcher at Institute of mathematics of National Academy of Science of Ukraine, Doctor of Science in physics and mathematics. He specializes in boundary problems for processes with independent increments and in risk theory. He was a professor at Taras Shevchenko National University of Kyiv (1998-2012).

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2014
• Language: English
• ISBN 10: 365962540X
• ISBN 13: 9783659625404
• Binding: Paperback
• Number of pages: 436