Applied stochastic processes and control for Jump-diffusions : modeling, analysis, and computation /

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Bibliographic Details
Author / Creator:Hanson, Floyd B.
Imprint:Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2007.
Description:1 online resource (xxix, 443 pages) : illustrations
Language:English
Series:Advances in design and control
Advances in design and control.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12577252
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Other authors / contributors:Society for Industrial and Applied Mathematics.
ISBN:9780898718638
0898718635
9780898716337
0898716330
Notes:Includes bibliographical references (pages 403-422) and index.
Title page of print version.
Summary: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 emphasizes modeling and problem solving and presents sample applications in financial engineering and biomedical modeling. 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.
Other form:Print version: 0898716330 9780898716337
Publisher's no.:DC13 siam

MARC

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260 |a Philadelphia, Pa. :  |b Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),  |c 2007. 
300 |a 1 online resource (xxix, 443 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Advances in design and control 
588 0 |a Title page of print version. 
504 |a Includes bibliographical references (pages 403-422) and index. 
505 0 |a Stochastic Jump and Diffusion Processes -- Stochastic Integration for Diffusions -- Stochastic Integration for Jumps -- Stochastic Calculus for Jump-Diffusions -- Stochastic Calculus for General Markov SDEs -- Stochastic Dynamic Programming -- Kolmogorov Equations -- Computational Stochastic Control Methods -- Stochastic Simulations -- Applications in Financial Engineering -- Applications in Mathematical Biology and Medicine -- Applied Guide to Abstract Stochastic Processes -- A Appendix Online : Deterministic Optimal Control -- B Appendix Online : Preliminaries in Probability and Analysis -- C Appendix Online : MATLAB Programs. 
520 3 |a 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. 
520 8 |a The book emphasizes modeling and problem solving and presents sample applications in financial engineering and biomedical modeling. 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. 
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650 0 |a Diffusion processes.  |0 http://id.loc.gov/authorities/subjects/sh85037941 
650 6 |a Processus stochastiques. 
650 6 |a Processus de Markov. 
650 6 |a Processus de diffusion. 
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