Topics on Singular Stochastic Control and Related Stochastic Differential Equations
Author: Jin Ma
Publisher:
Published: 1992
Total Pages: 230
ISBN-13:
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Applied Stochastic Control of Jump Diffusions
Author: Bernt Øksendal
Publisher: Springer Science & Business Media
Published: 2007-04-26
Total Pages: 263
ISBN-13: 3540698264
DOWNLOAD EBOOKHere is a rigorous introduction to the most important and useful solution methods of various types of stochastic control problems for jump diffusions and its applications. Discussion includes the dynamic programming method and the maximum principle method, and their relationship. The text emphasises real-world applications, primarily in finance. Results are illustrated by examples, with end-of-chapter exercises including complete solutions. The 2nd edition adds a chapter on optimal control of stochastic partial differential equations driven by Lévy processes, and a new section on optimal stopping with delayed information. Basic knowledge of stochastic analysis, measure theory and partial differential equations is assumed.
Applied Stochastic Differential Equations
Author: Simo Särkkä
Publisher: Cambridge University Press
Published: 2019-05-02
Total Pages: 327
ISBN-13: 1316510085
DOWNLOAD EBOOKWith this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.
Stochastic Processes and Related Topics
Author: Rainer Buckdahn
Publisher: CRC Press
Published: 2002-05-16
Total Pages: 294
ISBN-13: 9780415298834
DOWNLOAD EBOOKThis volume comprises selected papers presented at the 12th Winter School on Stochastic Processes and their Applications, which was held in Siegmundsburg, Germany, in March 2000. The contents include Backward Stochastic Differential Equations; Semilinear PDE and SPDE; Arbitrage Theory; Credit Derivatives and Models for Correlated Defaults; Three Intertwined Brownian Topics: Exponential Functionals, Winding Numbers and Local Times. A unique opportunity to read ideas from all the top experts on the subject, Stochastic Processes and Related Topics is intended for postgraduates and researchers working in this area of mathematics and provides a useful source of reference.
Backward Stochastic Differential Equations
Author: N El Karoui
Publisher: CRC Press
Published: 1997-01-17
Total Pages: 236
ISBN-13: 9780582307339
DOWNLOAD EBOOKThis book presents the texts of seminars presented during the years 1995 and 1996 at the Université Paris VI and is the first attempt to present a survey on this subject. Starting from the classical conditions for existence and unicity of a solution in the most simple case-which requires more than basic stochartic calculus-several refinements on the hypotheses are introduced to obtain more general results.
Lecture Notes in Economics and Mathematical Systems
Author: A. V. Balakrishnan
Publisher:
Published: 1973
Total Pages:
ISBN-13: 9780387063034
DOWNLOAD EBOOKStochastic Differential Equations
Author: Peter H. Baxendale
Publisher: World Scientific
Published: 2007
Total Pages: 416
ISBN-13: 9812706623
DOWNLOAD EBOOKThe first paper in the volume, Stochastic Evolution Equations by N V Krylov and B L Rozovskii, was originally published in Russian in 1979. After more than a quarter-century, this paper remains a standard reference in the field of stochastic partial differential equations (SPDEs) and continues to attract attention of mathematicians of all generations, because, together with a short but thorough introduction to SPDEs, it presents a number of optimal and essentially non-improvable results about solvability for a large class of both linear and non-linear equations.
Stochastic Processes and Filtering Theory
Author: Andrew H. Jazwinski
Publisher: Courier Corporation
Published: 2013-04-15
Total Pages: 404
ISBN-13: 0486318192
DOWNLOAD EBOOKThis 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.
Frontiers in Stochastic Analysis–BSDEs, SPDEs and their Applications
Author: Samuel N. Cohen
Publisher: Springer Nature
Published: 2019-08-31
Total Pages: 303
ISBN-13: 3030222853
DOWNLOAD EBOOKThis collection of selected, revised and extended contributions resulted from a Workshop on BSDEs, SPDEs and their Applications that took place in Edinburgh, Scotland, July 2017 and included the 8th World Symposium on BSDEs. The volume addresses recent advances involving backward stochastic differential equations (BSDEs) and stochastic partial differential equations (SPDEs). These equations are of fundamental importance in modelling of biological, physical and economic systems, and underpin many problems in control of random systems, mathematical finance, stochastic filtering and data assimilation. The papers in this volume seek to understand these equations, and to use them to build our understanding in other areas of mathematics. This volume will be of interest to those working at the forefront of modern probability theory, both established researchers and graduate students.
Seminar on Stochastic Analysis, Random Fields and Applications VII
Author: Robert C. Dalang
Publisher: Springer Science & Business Media
Published: 2013-09-05
Total Pages: 470
ISBN-13: 3034805454
DOWNLOAD EBOOKThis volume contains refereed research or review articles presented at the 7th Seminar on Stochastic Analysis, Random Fields and Applications which took place at the Centro Stefano Franscini (Monte Verità) in Ascona , Switzerland, in May 2011. The seminar focused mainly on: - stochastic (partial) differential equations, especially with jump processes, construction of solutions and approximations - Malliavin calculus and Stein methods, and other techniques in stochastic analysis, especially chaos representations and convergence, and applications to models of interacting particle systems - stochastic methods in financial models, especially models for power markets or for risk analysis, empirical estimation and approximation, stochastic control and optimal pricing. The book will be a valuable resource for researchers in stochastic analysis and for professionals interested in stochastic methods in finance.
