Applied Stochastic Analysis
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Applied Stochastic Analysis
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Author : Miranda Holmes-Cerfon
language : en
Publisher: American Mathematical Society, Courant Institute of Mathematical Sciences at New York University
Release Date : 2024-10-30
Applied Stochastic Analysis written by Miranda Holmes-Cerfon and has been published by American Mathematical Society, Courant Institute of Mathematical Sciences at New York University this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-30 with Mathematics categories.
This textbook introduces the major ideas of stochastic analysis with a view to modeling or simulating systems involving randomness. Suitable for students and researchers in applied mathematics and related disciplines, this book prepares readers to solve concrete problems arising in physically motivated models. The author?s practical approach avoids measure theory while retaining rigor for cases where it helps build techniques or intuition. Topics covered include Markov chains (discrete and continuous), Gaussian processes, It“ calculus, and stochastic differential equations and their associated PDEs. We ask questions such as: How does probability evolve? How do statistics evolve? How can we solve for time-dependent quantities such as first-passage times? How can we set up a model that includes fundamental principles such as time-reversibility (detailed balance)? How can we simulate a stochastic process numerically? Applied Stochastic Analysis invites readers to develop tools and insights for tackling physical systems involving randomness. Exercises accompany the text throughout, with frequent opportunities to implement simulation algorithms. A strong undergraduate background in linear algebra, probability, ODEs, and PDEs is assumed, along with the mathematical sophistication characteristic of a graduate student.
Applied Stochastic Processes
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Author : Mario Lefebvre
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-14
Applied Stochastic Processes written by Mario Lefebvre and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-14 with Mathematics categories.
Applied Stochastic Processes uses a distinctly applied framework to present the most important topics in the field of stochastic processes. Key features: -Presents carefully chosen topics such as Gaussian and Markovian processes, Markov chains, Poisson processes, Brownian motion, and queueing theory -Examines in detail special diffusion processes, with implications for finance, various generalizations of Poisson processes, and renewal processes -Serves graduate students in a variety of disciplines such as applied mathematics, operations research, engineering, finance, and business administration -Contains numerous examples and approximately 350 advanced problems, reinforcing both concepts and applications -Includes entertaining mini-biographies of mathematicians, giving an enriching historical context -Covers basic results in probability Two appendices with statistical tables and solutions to the even-numbered problems are included at the end. This textbook is for graduate students in applied mathematics, operations research, and engineering. Pure mathematics students interested in the applications of probability and stochastic processes and students in business administration will also find this book useful.
Applied Stochastic Analysis
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Author : Weinan E
language : en
Publisher:
Release Date : 2019
Applied Stochastic Analysis written by Weinan E and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Stochastic analysis categories.
This is a textbook for advanced undergraduate students and beginning graduate students in applied mathematics. It presents the basic mathematical foundations of stochastic analysis (probability theory and stochastic processes) as well as some important practical tools and applications (e.g., the connection with differential equations, numerical methods, path integrals, random fields, statistical physics, chemical kinetics, and rare events). The book strikes a nice balance between mathematical formalism and intuitive arguments, a style that is most suited for applied mathematicians. Readers can.
Applied Stochastic System Modeling
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Author : Shunji Osaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Applied Stochastic System Modeling written by Shunji Osaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
This book was written for an introductory one-semester or two-quarter course in stochastic processes and their applications. The reader is assumed to have a basic knowledge of analysis and linear algebra at an undergraduate level. Stochastic models are applied in many fields such as engineering systems, physics, biology, operations research, business, economics, psychology, and linguistics. Stochastic modeling is one of the promising kinds of modeling in applied probability theory. This book is intended to introduce basic stochastic processes: Poisson pro cesses, renewal processes, discrete-time Markov chains, continuous-time Markov chains, and Markov-renewal processes. These basic processes are introduced from the viewpoint of elementary mathematics without going into rigorous treatments. This book also introduces applied stochastic system modeling such as reliability and queueing modeling. Chapters 1 and 2 deal with probability theory, which is basic and prerequisite to the following chapters. Many important concepts of probabilities, random variables, and probability distributions are introduced. Chapter 3 develops the Poisson process, which is one of the basic and im portant stochastic processes. Chapter 4 presents the renewal process. Renewal theoretic arguments are then used to analyze applied stochastic models. Chapter 5 develops discrete-time Markov chains. Following Chapter 5, Chapter 6 deals with continuous-time Markov chains. Continuous-time Markov chains have im portant applications to queueing models as seen in Chapter 9. A one-semester course or two-quarter course consists of a brief review of Chapters 1 and 2, fol lowed in order by Chapters 3 through 6.
Applied Stochastic Analysis
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Author : Weinan E
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-09-22
Applied Stochastic Analysis written by Weinan E and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-22 with Education categories.
This is a textbook for advanced undergraduate students and beginning graduate students in applied mathematics. It presents the basic mathematical foundations of stochastic analysis (probability theory and stochastic processes) as well as some important practical tools and applications (e.g., the connection with differential equations, numerical methods, path integrals, random fields, statistical physics, chemical kinetics, and rare events). The book strikes a nice balance between mathematical formalism and intuitive arguments, a style that is most suited for applied mathematicians. Readers can learn both the rigorous treatment of stochastic analysis as well as practical applications in modeling and simulation. Numerous exercises nicely supplement the main exposition.
Applied Stochastic Analysis
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Author : M. H. A. Davis
language : en
Publisher: CRC Press
Release Date : 1991
Applied Stochastic Analysis written by M. H. A. Davis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
A collection of 22 articles based on papers presented at a workshop held at Imperial College, London, April 1989. They concern applications of stochastic analysis--the theory of stochastic integration, martingales and Markov processes--to a variety of applied problems centered around optimization of dynamical systems under uncertainty. Topics covered include characterization and approximation for stochastic system models, problems in stochastic control theory, and various facets of nonlinear filtering theory and system identification. Annotation copyrighted by Book News, Inc., Portland, OR
Applied Stochastic Processes
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Author : Ming Liao
language : en
Publisher: CRC Press
Release Date : 2013-07-22
Applied Stochastic Processes written by Ming Liao and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-22 with Business & Economics categories.
Applied Stochastic Processes presents a concise, graduate-level treatment of the subject, emphasizing applications and practical computation. It also establishes the complete mathematical theory in an accessible way. After reviewing basic probability, the text covers Poisson processes, renewal processes, discrete- and continuous-time Markov chains,
Elements Of Applied Stochastic Processes
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Author : U. Narayan Bhat
language : en
Publisher:
Release Date : 1984-10-25
Elements Of Applied Stochastic Processes written by U. Narayan Bhat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-10-25 with Mathematics categories.
Fundamentals of Queueing Theory, 2nd Edition Donald Gross and Carl M. Harris A graduate text and reference treating queueing theory from the development of standard models to applications. The emphasis is on real analysis of queueing systems, applications, and problem solving. It has been brought up-to-date by modernizing older treatments. 1985 (0 471-89067-7) 475 pp. Multivariate Descriptive Analysis Correspondence Analysis and Related Techniques for Large Matrices Ludovic Lebart, Alain Morineau and Kenneth M. Warwick Presents a set of statistical methods for exploratory analysis of large date sets and categorical data. This unique approach uses graphical aspects of multidimensional scaling techniques within the context of exploratory data analysis. 1984 (0 471-86743-8) 231 pp. Introduction to Linear Regression Analysis Douglas C. Montgomery and Elizabeth A. Peck A definitive introduction to linear regression analysis covering basic topics as well as recent approaches in the field. It blends theory and application in a way that enables readers to apply regression methodology in a variety of practical settings. Many detailed examples drawn directly from various fields of engineering, physical science, and the management sciences provide clear guidance to the use of the techniques. The interface with widely available computer programs for regression analysis is illustrated throughout with numerous actual computer printouts. 1982 (0 471-05850-5) 504 pp.
Introduction To Stochastic Analysis
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Author : Vigirdas Mackevicius
language : en
Publisher: John Wiley & Sons
Release Date : 2013-02-07
Introduction To Stochastic Analysis written by Vigirdas Mackevicius and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-07 with Mathematics categories.
This is an introduction to stochastic integration and stochastic differential equations written in an understandable way for a wide audience, from students of mathematics to practitioners in biology, chemistry, physics, and finances. The presentation is based on the naïve stochastic integration, rather than on abstract theories of measure and stochastic processes. The proofs are rather simple for practitioners and, at the same time, rather rigorous for mathematicians. Detailed application examples in natural sciences and finance are presented. Much attention is paid to simulation diffusion processes. The topics covered include Brownian motion; motivation of stochastic models with Brownian motion; Itô and Stratonovich stochastic integrals, Itô’s formula; stochastic differential equations (SDEs); solutions of SDEs as Markov processes; application examples in physical sciences and finance; simulation of solutions of SDEs (strong and weak approximations). Exercises with hints and/or solutions are also provided.
Applied Stochastic Processes And Control For Jump Diffusions
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Author : Floyd B. Hanson
language : en
Publisher: SIAM
Release Date : 2007-11-22
Applied Stochastic Processes And Control For Jump Diffusions written by Floyd B. Hanson and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-22 with Mathematics categories.
A practical, entry-level text integrating the basic principles of applied mathematics and probability, and computational science.