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Stochastic Analysis, Filtering, and Stochastic Optimization

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Release : 2022-04-22
Genre : Mathematics
Kind : eBook
Book Rating : 199/5 ( reviews)

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Book Synopsis Stochastic Analysis, Filtering, and Stochastic Optimization by : George Yin

Download or read book Stochastic Analysis, Filtering, and Stochastic Optimization written by George Yin. This book was released on 2022-04-22. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of research works to honor the late Professor Mark H.A. Davis, whose pioneering work in the areas of Stochastic Processes, Filtering, and Stochastic Optimization spans more than five decades. Invited authors include his dissertation advisor, past collaborators, colleagues, mentees, and graduate students of Professor Davis, as well as scholars who have worked in the above areas. Their contributions may expand upon topics in piecewise deterministic processes, pathwise stochastic calculus, martingale methods in stochastic optimization, filtering, mean-field games, time-inconsistency, as well as impulse, singular, risk-sensitive and robust stochastic control.

Stochastic Analysis, Control, Optimization and Applications

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Release : 2012-12-06
Genre : Technology & Engineering
Kind : eBook
Book Rating : 849/5 ( reviews)

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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. This book was released on 2012-12-06. 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.

Fundamentals of Stochastic Filtering

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Release : 2008-10-08
Genre : Mathematics
Kind : eBook
Book Rating : 963/5 ( reviews)

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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. This book was released on 2008-10-08. 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.

Applied Stochastic Analysis

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Release : 1992
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Applied Stochastic Analysis by : Ioannis Karatzas

Download or read book Applied Stochastic Analysis written by Ioannis Karatzas. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers presented during a four-day Workshop that took place at Rutgers University from 29 April to 2 May, 1991. The purpose of this workshop was to promote interaction among specialists in these areas byproviding for all an up-to-date picture of current issues and outstanding problems. The topics covered include singular stochasticcontrol, queuing networks, the mathematical theory of stochastic optimization and filtering, adaptive control and the estimation for random fields and its connections with simulated annealing, statistical mechanics, and combinatorial optimization.

Stochastic Analysis, Stochastic Systems, And Applications To Finance

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Release : 2011-06-10
Genre : Mathematics
Kind : eBook
Book Rating : 481/5 ( reviews)

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Book Synopsis Stochastic Analysis, Stochastic Systems, And Applications To Finance by : Allanus Hak-man Tsoi

Download or read book Stochastic Analysis, Stochastic Systems, And Applications To Finance written by Allanus Hak-man Tsoi. This book was released on 2011-06-10. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces some advanced topics in probability theories — both pure and applied — is divided into two parts. The first part deals with the analysis of stochastic dynamical systems, in terms of Gaussian processes, white noise theory, and diffusion processes. The second part of the book discusses some up-to-date applications of optimization theories, martingale measure theories, reliability theories, stochastic filtering theories and stochastic algorithms towards mathematical finance issues such as option pricing and hedging, bond market analysis, volatility studies and asset trading modeling.

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