Stochastic Analysis, Control, Optimization and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1461217849
Total Pages : 660 pages
Book Rating : 4.48/5 ( download)

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Book Synopsis Stochastic Analysis, Control, Optimization and Applications by : William M. McEneaney

Download or read book Stochastic Analysis, Control, Optimization and Applications written by William M. McEneaney and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: In view of Professor Wendell Fleming's many fundamental contributions, his profound influence on the mathematical and systems theory communi ties, his service to the profession, and his dedication to mathematics, we have invited a number of leading experts in the fields of control, optimiza tion, and stochastic systems to contribute to this volume in his honor on the occasion of his 70th birthday. These papers focus on various aspects of stochastic analysis, control theory and optimization, and applications. They include authoritative expositions and surveys as well as research papers on recent and important issues. The papers are grouped according to the following four major themes: (1) large deviations, risk sensitive and Hoc control, (2) partial differential equations and viscosity solutions, (3) stochastic control, filtering and parameter esti mation, and (4) mathematical finance and other applications. We express our deep gratitude to all of the authors for their invaluable contributions, and to the referees for their careful and timely reviews. We thank Harold Kushner for having graciously agreed to undertake the task of writing the foreword. Particular thanks go to H. Thomas Banks for his help, advice and suggestions during the entire preparation process, as well as for the generous support of the Center for Research in Scientific Computation. The assistance from the Birkhauser professional staff is also greatly appreciated.

Stochastic Analysis, Control, Optimization, and Applications

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Publisher : Birkhauser
ISBN 13 : 9783764340780
Total Pages : 637 pages
Book Rating : 4.89/5 ( download)

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Book Synopsis Stochastic Analysis, Control, Optimization, and Applications by : Wendell Helms Fleming

Download or read book Stochastic Analysis, Control, Optimization, and Applications written by Wendell Helms Fleming and published by Birkhauser. This book was released on 1999 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a survey of developments, results, and applications in stochastic analysis, control theory, optimization and applications. It should be a valuable resource for practitioners, researchers and professionals in applied mathematics, operations research and engineering.

Continuous-time Stochastic Control and Optimization with Financial Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3540895000
Total Pages : 243 pages
Book Rating : 4.08/5 ( download)

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Book Synopsis Continuous-time Stochastic Control and Optimization with Financial Applications by : Huyên Pham

Download or read book Continuous-time Stochastic Control and Optimization with Financial Applications written by Huyên Pham and published by Springer Science & Business Media. This book was released on 2009-05-28 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic optimization problems arise in decision-making problems under uncertainty, and find various applications in economics and finance. On the other hand, problems in finance have recently led to new developments in the theory of stochastic control. This volume provides a systematic treatment of stochastic optimization problems applied to finance by presenting the different existing methods: dynamic programming, viscosity solutions, backward stochastic differential equations, and martingale duality methods. The theory is discussed in the context of recent developments in this field, with complete and detailed proofs, and is illustrated by means of concrete examples from the world of finance: portfolio allocation, option hedging, real options, optimal investment, etc. This book is directed towards graduate students and researchers in mathematical finance, and will also benefit applied mathematicians interested in financial applications and practitioners wishing to know more about the use of stochastic optimization methods in finance.

Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 0387338152
Total Pages : 397 pages
Book Rating : 4.56/5 ( download)

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Book Synopsis Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems by : Houmin Yan

Download or read book Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems written by Houmin Yan and published by Springer Science & Business Media. This book was released on 2006-09-10 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume contains 16 research articles. It presents recent and pressing issues in stochastic processes, control theory, differential games, optimization, and their applications in finance, manufacturing, queueing networks, and climate control. One of the salient features is that the book is highly multi-disciplinary. The book is dedicated to Professor Suresh Sethi on the occasion of his 60th birthday, in view of his distinguished career.

Stochastic Optimization Methods

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Publisher : Springer
ISBN 13 : 3662462141
Total Pages : 389 pages
Book Rating : 4.40/5 ( download)

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Book Synopsis Stochastic Optimization Methods by : Kurt Marti

Download or read book Stochastic Optimization Methods written by Kurt Marti and published by Springer. This book was released on 2015-02-21 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines optimization problems that in practice involve random model parameters. It details the computation of robust optimal solutions, i.e., optimal solutions that are insensitive with respect to random parameter variations, where appropriate deterministic substitute problems are needed. Based on the probability distribution of the random data and using decision theoretical concepts, optimization problems under stochastic uncertainty are converted into appropriate deterministic substitute problems. Due to the probabilities and expectations involved, the book also shows how to apply approximative solution techniques. Several deterministic and stochastic approximation methods are provided: Taylor expansion methods, regression and response surface methods (RSM), probability inequalities, multiple linearization of survival/failure domains, discretization methods, convex approximation/deterministic descent directions/efficient points, stochastic approximation and gradient procedures and differentiation formulas for probabilities and expectations. In the third edition, this book further develops stochastic optimization methods. In particular, it now shows how to apply stochastic optimization methods to the approximate solution of important concrete problems arising in engineering, economics and operations research.

Control Theory, Stochastic Analysis And Applications - Proceedings Of Symposium On System Sciences And Control Theory

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Publisher : World Scientific
ISBN 13 : 9814555002
Total Pages : 306 pages
Book Rating : 4.05/5 ( download)

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Book Synopsis Control Theory, Stochastic Analysis And Applications - Proceedings Of Symposium On System Sciences And Control Theory by : S P Chen

Download or read book Control Theory, Stochastic Analysis And Applications - Proceedings Of Symposium On System Sciences And Control Theory written by S P Chen and published by World Scientific. This book was released on 1992-03-27 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The symposium discusses and explores the current and future development of some aspects of the theory of nonlinear control systems, adaptive control and filtering, robust control and H∞ optimization, stochastic systems and white noise analysis, etc.

Deterministic and Stochastic Optimal Control

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Publisher : Springer Science & Business Media
ISBN 13 : 1461263808
Total Pages : 231 pages
Book Rating : 4.07/5 ( download)

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Book Synopsis Deterministic and Stochastic Optimal Control by : Wendell H. Fleming

Download or read book Deterministic and Stochastic Optimal Control written by Wendell H. Fleming and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book may be regarded as consisting of two parts. In Chapters I-IV we pre sent what we regard as essential topics in an introduction to deterministic optimal control theory. This material has been used by the authors for one semester graduate-level courses at Brown University and the University of Kentucky. The simplest problem in calculus of variations is taken as the point of departure, in Chapter I. Chapters II, III, and IV deal with necessary conditions for an opti mum, existence and regularity theorems for optimal controls, and the method of dynamic programming. The beginning reader may find it useful first to learn the main results, corollaries, and examples. These tend to be found in the earlier parts of each chapter. We have deliberately postponed some difficult technical proofs to later parts of these chapters. In the second part of the book we give an introduction to stochastic optimal control for Markov diffusion processes. Our treatment follows the dynamic pro gramming method, and depends on the intimate relationship between second order partial differential equations of parabolic type and stochastic differential equations. This relationship is reviewed in Chapter V, which may be read inde pendently of Chapters I-IV. Chapter VI is based to a considerable extent on the authors' work in stochastic control since 1961. It also includes two other topics important for applications, namely, the solution to the stochastic linear regulator and the separation principle.

Lectures on BSDEs, Stochastic Control, and Stochastic Differential Games with Financial Applications

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Publisher : SIAM
ISBN 13 : 1611974240
Total Pages : 265 pages
Book Rating : 4.49/5 ( download)

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Book Synopsis Lectures on BSDEs, Stochastic Control, and Stochastic Differential Games with Financial Applications by : Rene Carmona

Download or read book Lectures on BSDEs, Stochastic Control, and Stochastic Differential Games with Financial Applications written by Rene Carmona and published by SIAM. This book was released on 2016-02-18 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this textbook is to introduce students to the stochastic analysis tools that play an increasing role in the probabilistic approach to optimization problems, including stochastic control and stochastic differential games. While optimal control is taught in many graduate programs in applied mathematics and operations research, the author was intrigued by the lack of coverage of the theory of stochastic differential games. This is the first title in SIAM?s Financial Mathematics book series and is based on the author?s lecture notes. It will be helpful to students who are interested in stochastic differential equations (forward, backward, forward-backward); the probabilistic approach to stochastic control (dynamic programming and the stochastic maximum principle); and mean field games and control of McKean?Vlasov dynamics. The theory is illustrated by applications to models of systemic risk, macroeconomic growth, flocking/schooling, crowd behavior, and predatory trading, among others.

Optimal Stochastic Control, Stochastic Target Problems, and Backward SDE

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Publisher : Springer Science & Business Media
ISBN 13 : 1461442869
Total Pages : 219 pages
Book Rating : 4.68/5 ( download)

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Book Synopsis Optimal Stochastic Control, Stochastic Target Problems, and Backward SDE by : Nizar Touzi

Download or read book Optimal Stochastic Control, Stochastic Target Problems, and Backward SDE written by Nizar Touzi and published by Springer Science & Business Media. This book was released on 2012-09-25 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects some recent developments in stochastic control theory with applications to financial mathematics. We first address standard stochastic control problems from the viewpoint of the recently developed weak dynamic programming principle. A special emphasis is put on the regularity issues and, in particular, on the behavior of the value function near the boundary. We then provide a quick review of the main tools from viscosity solutions which allow to overcome all regularity problems. We next address the class of stochastic target problems which extends in a nontrivial way the standard stochastic control problems. Here the theory of viscosity solutions plays a crucial role in the derivation of the dynamic programming equation as the infinitesimal counterpart of the corresponding geometric dynamic programming equation. The various developments of this theory have been stimulated by applications in finance and by relevant connections with geometric flows. Namely, the second order extension was motivated by illiquidity modeling, and the controlled loss version was introduced following the problem of quantile hedging. The third part specializes to an overview of Backward stochastic differential equations, and their extensions to the quadratic case.​

Handbook of Stochastic Processes, Optimization and Control Theory

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Publisher :
ISBN 13 : 9781781540909
Total Pages : 368 pages
Book Rating : 4.0X/5 ( download)

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Book Synopsis Handbook of Stochastic Processes, Optimization and Control Theory by : Sharples Norris

Download or read book Handbook of Stochastic Processes, Optimization and Control Theory written by Sharples Norris and published by . This book was released on 2012-09 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses issues in stochastic processes, control theory, differential games, optimization, and their applications in finance, manufacturing, queueing networks, and climate control. One of the salient features is that the handbook is highly multi-disciplinary. It addresses operations research, control theory and optimization, stochastic analysis, and financial engineering and reviews and substantially updates the recent progress in these fields.