Applied Stochastic Processes and Control for Jump Diffusions: Modeling, Analysis, and Computation (Advances in Design and Control, Series Number 13) - Softcover

Hanson, Floyd B.

Softcover

ISBN 10: 0898716330 ISBN 13: 9780898716337

Publisher: Society for Industrial and Applied Mathematics, 2007

Synopsis

This self-contained, practical, entry-level text integrates the basic principles of applied mathematics, applied probability, and computational science for a clear presentation of stochastic processes and control for jump diffusions in continuous time. The author covers the important problem of controlling these systems and, through the use of a jump calculus construction, discusses the strong role of discontinuous and nonsmooth properties versus random properties in stochastic systems. The book emphasises modelling and problem solving, and presents sample applications in financial engineering and biomedical modelling. Computational and analytic exercises and examples are included throughout. While classical applied mathematics is used in most of the chapters to set up systematic derivations and essential proofs, the final chapter bridges the gap between the applied and the abstract worlds to give readers an understanding of the more abstract literature on jump diffusions. Appendices are available on the book's supplementary Web page.

About this title

About the Author

Floyd B. Hanson is Professor Emeritus in the Department of Mathematics, Statistics, and Computer Science at the University of Illinois, Chicago. He received the Premier UIC Award for Excellence in Teaching for 2001 and has published approximately 100 research papers.

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 2007
• Language: English
• ISBN 10: 0898716330
• ISBN 13: 9780898716337
• Binding: Paperback
• Number of pages: 474