Stochastic Processes and Filtering Theory

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Publisher : Courier Corporation
ISBN 13 : 0486318192
Total Pages : 404 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Stochastic Processes and Filtering Theory by : Andrew H. Jazwinski

Download or read book Stochastic Processes and Filtering Theory written by Andrew H. Jazwinski and published by Courier Corporation. This book was released on 2013-04-15 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unified treatment of linear and nonlinear filtering theory presents material previously available only in journals, and in terms accessible to engineering students. Its sole prerequisites are advanced calculus, the theory of ordinary differential equations, and matrix analysis. Although theory is emphasized, the text discusses numerous practical applications as well. Taking the state-space approach to filtering, this text models dynamical systems by finite-dimensional Markov processes, outputs of stochastic difference, and differential equations. Starting with background material on probability theory and stochastic processes, the author introduces and defines the problems of filtering, prediction, and smoothing. He presents the mathematical solutions to nonlinear filtering problems, and he specializes the nonlinear theory to linear problems. The final chapters deal with applications, addressing the development of approximate nonlinear filters, and presenting a critical analysis of their performance.

Fundamentals of Stochastic Filtering

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Publisher : Springer Science & Business Media
ISBN 13 : 0387768963
Total Pages : 395 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Fundamentals of Stochastic Filtering by : Alan Bain

Download or read book Fundamentals of Stochastic Filtering written by Alan Bain and published by Springer Science & Business Media. This book was released on 2008-10-08 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a rigorous mathematical treatment of the non-linear stochastic filtering problem using modern methods. Particular emphasis is placed on the theoretical analysis of numerical methods for the solution of the filtering problem via particle methods. The book should provide sufficient background to enable study of the recent literature. While no prior knowledge of stochastic filtering is required, readers are assumed to be familiar with measure theory, probability theory and the basics of stochastic processes. Most of the technical results that are required are stated and proved in the appendices. Exercises and solutions are included.

Discrete-time Stochastic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9781852336493
Total Pages : 410 pages
Book Rating : 4.3/5 (364 download)

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Book Synopsis Discrete-time Stochastic Systems by : Torsten Söderström

Download or read book Discrete-time Stochastic Systems written by Torsten Söderström and published by Springer Science & Business Media. This book was released on 2002-07-26 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive introduction to the estimation and control of dynamic stochastic systems provides complete derivations of key results. The second edition includes improved and updated material, and a new presentation of polynomial control and new derivation of linear-quadratic-Gaussian control.

Discrete Stochastic Processes and Optimal Filtering

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Publisher : John Wiley & Sons
ISBN 13 : 1118600533
Total Pages : 196 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Discrete Stochastic Processes and Optimal Filtering by : Jean-Claude Bertein

Download or read book Discrete Stochastic Processes and Optimal Filtering written by Jean-Claude Bertein and published by John Wiley & Sons. This book was released on 2012-12-27 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal filtering applied to stationary and non-stationary signals provides the most efficient means of dealing with problems arising from the extraction of noise signals. Moreover, it is a fundamental feature in a range of applications, such as in navigation in aerospace and aeronautics, filter processing in the telecommunications industry, etc. This book provides a comprehensive overview of this area, discussing random and Gaussian vectors, outlining the results necessary for the creation of Wiener and adaptive filters used for stationary signals, as well as examining Kalman filters which are used in relation to non-stationary signals. Exercises with solutions feature in each chapter to demonstrate the practical application of these ideas using MATLAB.

Fundamentals of Stochastic Signals, Systems and Estimation Theory with Worked Examples

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Author :
Publisher :
ISBN 13 : 9788674663233
Total Pages : 432 pages
Book Rating : 4.6/5 (632 download)

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Book Synopsis Fundamentals of Stochastic Signals, Systems and Estimation Theory with Worked Examples by : Branko Kovačević

Download or read book Fundamentals of Stochastic Signals, Systems and Estimation Theory with Worked Examples written by Branko Kovačević and published by . This book was released on 2008 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Filtering

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Publisher : Courier Corporation
ISBN 13 : 0486136892
Total Pages : 370 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Optimal Filtering by : Brian D. O. Anderson

Download or read book Optimal Filtering written by Brian D. O. Anderson and published by Courier Corporation. This book was released on 2012-05-23 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level text extends studies of signal processing, particularly regarding communication systems and digital filtering theory. Topics include filtering, linear systems, and estimation; discrete-time Kalman filter; time-invariant filters; more. 1979 edition.

Sequential Monte Carlo Methods for Nonlinear Discrete-time Filtering

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Publisher : Morgan & Claypool Publishers
ISBN 13 : 1627051198
Total Pages : 101 pages
Book Rating : 4.6/5 (27 download)

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Book Synopsis Sequential Monte Carlo Methods for Nonlinear Discrete-time Filtering by : Marcelo G. S. Bruno

Download or read book Sequential Monte Carlo Methods for Nonlinear Discrete-time Filtering written by Marcelo G. S. Bruno and published by Morgan & Claypool Publishers. This book was released on 2013 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these notes, we introduce particle filtering as a recursive importance sampling method that approximates the minimum-mean-square-error (MMSE) estimate of a sequence of hidden state vectors in scenarios where the joint probability distribution of the states and the observations is non-Gaussian and, therefore, closed-form analytical expressions for the MMSE estimate are generally unavailable. We begin the notes with a review of Bayesian approaches to static (i.e., time-invariant) parameter estimation. In the sequel, we describe the solution to the problem of sequential state estimation in linear, Gaussian dynamic models, which corresponds to the well-known Kalman (or Kalman-Bucy) filter. Finally, we move to the general nonlinear, non-Gaussian stochastic filtering problem and present particle filtering as a sequential Monte Carlo approach to solve that problem in a statistically optimal way. We review several techniques to improve the performance of particle filters, including importance function optimization, particle resampling, Markov Chain Monte Carlo move steps, auxiliary particle filtering, and regularized particle filtering. We also discuss Rao-Blackwellized particle filtering as a technique that is particularly well-suited for many relevant applications such as fault detection and inertial navigation. Finally, we conclude the notes with a discussion on the emerging topic of distributed particle filtering using multiple processors located at remote nodes in a sensor network. Throughout the notes, we often assume a more general framework than in most introductory textbooks by allowing either the observation model or the hidden state dynamic model to include unknown parameters. In a fully Bayesian fashion, we treat those unknown parameters also as random variables. Using suitable dynamic conjugate priors, that approach can be applied then to perform joint state and parameter estimation.

Stochastic Processes, Finance And Control: A Festschrift In Honor Of Robert J Elliott

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Publisher : World Scientific
ISBN 13 : 9814483915
Total Pages : 605 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Stochastic Processes, Finance And Control: A Festschrift In Honor Of Robert J Elliott by : Samuel N Cohen

Download or read book Stochastic Processes, Finance And Control: A Festschrift In Honor Of Robert J Elliott written by Samuel N Cohen and published by World Scientific. This book was released on 2012-08-10 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of a series of new, peer-reviewed papers in stochastic processes, analysis, filtering and control, with particular emphasis on mathematical finance, actuarial science and engineering. Paper contributors include colleagues, collaborators and former students of Robert Elliott, many of whom are world-leading experts and have made fundamental and significant contributions to these areas.This book provides new important insights and results by eminent researchers in the considered areas, which will be of interest to researchers and practitioners. The topics considered will be diverse in applications, and will provide contemporary approaches to the problems considered. The areas considered are rapidly evolving. This volume will contribute to their development, and present the current state-of-the-art stochastic processes, analysis, filtering and control.Contributing authors include: H Albrecher, T Bielecki, F Dufour, M Jeanblanc, I Karatzas, H-H Kuo, A Melnikov, E Platen, G Yin, Q Zhang, C Chiarella, W Fleming, D Madan, R Mamon, J Yan, V Krishnamurthy.

Modern Trends in Controlled Stochastic Processes

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Publisher : Luniver Press
ISBN 13 : 1905986300
Total Pages : 342 pages
Book Rating : 4.9/5 (59 download)

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Book Synopsis Modern Trends in Controlled Stochastic Processes by : Alexey B. Piunovskiy

Download or read book Modern Trends in Controlled Stochastic Processes written by Alexey B. Piunovskiy and published by Luniver Press. This book was released on 2010-09 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: World leading experts give their accounts of the modern mathematical models in the field: Markov Decision Processes, controlled diffusions, piece-wise deterministic processes etc, with a wide range of performance functionals. One of the aims is to give a general view on the state-of-the-art. The authors use Dynamic Programming, Convex Analytic Approach, several numerical methods, index-based approach and so on. Most chapters either contain well developed examples, or are entirely devoted to the application of the mathematical control theory to real life problems from such fields as Insurance, Portfolio Optimization and Information Transmission. The book will enable researchers, academics and research students to get a sense of novel results, concepts, models, methods, and applications of controlled stochastic processes.

Optimal Filtering

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Publisher : Springer Science & Business Media
ISBN 13 : 9401153264
Total Pages : 387 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Optimal Filtering by : V.N. Fomin

Download or read book Optimal Filtering written by V.N. Fomin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to an investigation of some important problems of mod ern filtering theory concerned with systems of 'any nature being able to per ceive, store and process an information and apply it for control and regulation'. (The above quotation is taken from the preface to [27]). Despite the fact that filtering theory is l'argely worked out (and its major issues such as the Wiener-Kolmogorov theory of optimal filtering of stationary processes and Kalman-Bucy recursive filtering theory have become classical) a development of the theory is far from complete. A great deal of recent activity in this area is observed, researchers are trying consistently to generalize famous results, extend them to more broad classes of processes, realize and justify more simple procedures for processing measurement data in order to obtain more efficient filtering algorithms. As to nonlinear filter ing, it remains much as fragmentary. Here much progress has been made by R. L. Stratonovich and his successors in the area of filtering of Markov processes. In this volume an effort is made to advance in certain of these issues. The monograph has evolved over many years, coming of age by stages. First it was an impressive job of gathering together the bulk of the impor tant contributions to estimation theory, an understanding and moderniza tion of some of its results and methods, with the intention of applying them to recursive filtering problems.

Filtering for Stochastic Processes with Applications to Guidance

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821837825
Total Pages : 240 pages
Book Rating : 4.8/5 (378 download)

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Book Synopsis Filtering for Stochastic Processes with Applications to Guidance by : Richard S. Bucy

Download or read book Filtering for Stochastic Processes with Applications to Guidance written by Richard S. Bucy and published by American Mathematical Soc.. This book was released on 2005 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition preserves the original text of 1968, with clarification and added references. From the Preface to the Second Edition: ``Since the First Edition of this book, numerous important results have appeared--in particular stochastic integrals with respect to martingales, random fields, Riccati equation theory and realization of nonlinear filters, to name a few. In Appendix D, an attempt is made to provide some of the references that the authors have found useful and tocomment on the relation of the cited references to the field ... [W]e hope that this new edition will have the effect of hastening the day when the nonlinear filter will enjoy the same popularity in applications as the linear filter does now.''

Filtering for Some Stochastic Processes with Discrete Observations

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Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Filtering for Some Stochastic Processes with Discrete Observations by : Oleg V. Makhnin

Download or read book Filtering for Some Stochastic Processes with Discrete Observations written by Oleg V. Makhnin and published by . This book was released on 2002 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Processes, Estimation, and Control

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Publisher : SIAM
ISBN 13 : 0898716551
Total Pages : 391 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Stochastic Processes, Estimation, and Control by : Jason L. Speyer

Download or read book Stochastic Processes, Estimation, and Control written by Jason L. Speyer and published by SIAM. This book was released on 2008-11-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors provide a comprehensive treatment of stochastic systems from the foundations of probability to stochastic optimal control. The book covers discrete- and continuous-time stochastic dynamic systems leading to the derivation of the Kalman filter, its properties, and its relation to the frequency domain Wiener filter aswell as the dynamic programming derivation of the linear quadratic Gaussian (LQG) and the linear exponential Gaussian (LEG) controllers and their relation to HÝsubscript 2¨ and HÝsubscript Ýinfinity¨¨ controllers and system robustness. This book is suitable for first-year graduate students in electrical, mechanical, chemical, and aerospace engineering specializing in systems and control. Students in computer science, economics, and possibly business will also find it useful.

Stochastic Optimal Control

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Publisher :
ISBN 13 : 9780120932603
Total Pages : 323 pages
Book Rating : 4.9/5 (326 download)

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Book Synopsis Stochastic Optimal Control by : Dimitri P. Bertsekas

Download or read book Stochastic Optimal Control written by Dimitri P. Bertsekas and published by . This book was released on 1961 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partially Observed Markov Decision Processes

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Publisher : Cambridge University Press
ISBN 13 : 1107134609
Total Pages : 491 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Partially Observed Markov Decision Processes by : Vikram Krishnamurthy

Download or read book Partially Observed Markov Decision Processes written by Vikram Krishnamurthy and published by Cambridge University Press. This book was released on 2016-03-21 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers formulation, algorithms, and structural results of partially observed Markov decision processes, whilst linking theory to real-world applications in controlled sensing. Computations are kept to a minimum, enabling students and researchers in engineering, operations research, and economics to understand the methods and determine the structure of their optimal solution.

Stochastic Processes and Applications to Mathematical Finance

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Publisher : World Scientific
ISBN 13 : 9812770445
Total Pages : 309 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Stochastic Processes and Applications to Mathematical Finance by : Jiro Akahori

Download or read book Stochastic Processes and Applications to Mathematical Finance written by Jiro Akahori and published by World Scientific. This book was released on 2007 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions to a conference that is among the most important meetings in financial mathematics. Serving as a bridge between probabilists in Japan (called the Ito School and known for its highly sophisticated mathematics) and mathematical finance and financial engineering, the conference elicits the very highest quality papers in the field of financial mathematics.

Stochastic Control

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Publisher : Elsevier
ISBN 13 : 1483298078
Total Pages : 533 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Stochastic Control by : N.K. Sinha

Download or read book Stochastic Control written by N.K. Sinha and published by Elsevier. This book was released on 2014-05-23 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic control, the control of random processes, has become increasingly more important to the systems analyst and engineer. The Second IFAC Symposium on Stochastic Control represents current thinking on all aspects of stochastic control, both theoretical and practical, and as such represents a further advance in the understanding of such systems.