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

Stochastic Processes, Finance And Control: A Festschrift In Honor Of Robert J Elliott
Author: Samuel N Cohen
Publisher: World Scientific
Total Pages: 605
Release: 2012-08-10
Genre: Mathematics
ISBN: 9814483915

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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.


Statistics And Control Of Stochastic Processes: The Liptser Festschrift

Statistics And Control Of Stochastic Processes: The Liptser Festschrift
Author: Yu M Kabanov
Publisher: World Scientific
Total Pages: 378
Release: 1997-12-04
Genre:
ISBN: 9814545503

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This volume contains papers presented at the Steklov Seminar on Statistics and Control of Stochastic Processes. For the past three decades, the seminar has determined the development, in a number of important directions, of the theory of random processes not only in the USSR (now Russia) but in the whole world. It was organised by A N Shiryaev in collaboration with N V Krylov and R Sh Liptser. It started off with optimal stopping and filtering with applications to engineering, and very soon extended its interests to more general problems of stochastic control, causal and anticipating stochastic calculus, limit theorems for semimartingales, martingale methods in queueing theory, foundations of statistics of random processes and, in recent years, mathematical finance. Many studies, for example of stochastic PDEs or extended stochastic integrals, anticipated largely Western works.The contributions in this book are devoted to the hottest topics and united by a martingale methodology which was the key idea of the seminar.


Statistics and Control of Random Processes

Statistics and Control of Random Processes
Author: A. A. Novikov
Publisher: American Mathematical Soc.
Total Pages: 260
Release: 1994
Genre: Mathematics
ISBN: 9780821804117

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This book contains papers by participants in two seminars, one on martingales and statistics of stochastic processes, and one on sequential analysis, both of which were held at the Steklov Institute of the Russian Academy of Sciences. The papers develop the concepts of martingales and seminmartingales and stochastic calculus for them, as well as their applications in statistics and control of stochastic processes. The class of semimartingales - that is, the class of all processes which can be represented as a sum of a martingale and a process with bounded variation - is rather large. It contains such important processes as Brownian motion, Poisson processes, solutions of stochastic differential equations, and others. The papers treat theoretical aspects of statistics of stochastic processes as well as specific models of stochastic processes from the standpoint of their statistics and control. The collection is intended for undergraduate and graduate students and researchers in probability theory and mathematical statistics.


Statistics and Control of Stochastic Processes

Statistics and Control of Stochastic Processes
Author: Yu M. Kabanov
Publisher: World Scientific Publishing Company Incorporated
Total Pages: 354
Release: 1997
Genre: Mathematics
ISBN: 9789810232924

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This volume contains papers presented at the Steklov Seminar on Statistics and Control of Stochastic Processes. For the past three decades, the seminar has determined the development, in a number of important directions, of the theory of random processes not only in the USSR (now Russia) but in the whole world. It was organised by A N Shiryaev in collaboration with N V Krylov and R Sh Liptser. It started off with optimal stopping and filtering with applications to engineering, and very soon extended its interests to more general problems of stochastic control, causal and anticipating stochastic calculus, limit theorems for semimartingales, martingale methods in queueing theory, foundations of statistics of random processes and, in recent years, mathematical finance. Many studies, for example of stochastic PDEs or extended stochastic integrals, anticipated largely Western works. The contributions in this book are devoted to the hottest topics and united by a martingale which was the key idea of the seminar.


Methods of Optimal Statistical Decisions, Optimal Control, and Stochastic Differential Equations

Methods of Optimal Statistical Decisions, Optimal Control, and Stochastic Differential Equations
Author: Ellida M. Khazen
Publisher: Xlibris Corporation
Total Pages: 320
Release: 2009-11-16
Genre: Education
ISBN: 1462807178

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This book provides the reader with some insight into the mathematical models of random processes with continuous time, stochastic differential equations and stochastic integrals. An advanced development of the mathematical methods of optimal statistical decisions, statistical sequential analysis, and informational estimation of risks, and new methods and solutions to the important problems of the theory of optimal control are presented. The new original results obtained by this author and published shortly in her numerous scientific-research papers are presented in a systematic way in this book. The book is intended for engineers, students, post-graduate students, and scientist researchers. The presentation of the material is accessible to engineers.


Stochastic Processes, Estimation, and Control

Stochastic Processes, Estimation, and Control
Author: Jason L. Speyer
Publisher: SIAM
Total Pages: 391
Release: 2008-11-06
Genre: Mathematics
ISBN: 0898716551

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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.


Statistics of Random Processes II

Statistics of Random Processes II
Author: Robert S. Liptser
Publisher: Springer Science & Business Media
Total Pages: 409
Release: 2013-03-14
Genre: Mathematics
ISBN: 3662100282

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"Written by two renowned experts in the field, the books under review contain a thorough and insightful treatment of the fundamental underpinnings of various aspects of stochastic processes as well as a wide range of applications. Providing clear exposition, deep mathematical results, and superb technical representation, they are masterpieces of the subject of stochastic analysis and nonlinear filtering....These books...will become classics." --SIAM REVIEW