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Stochastic Modeling: Analysis and Simulation

Автор: Nelson Barry L.
Название:  Stochastic Modeling: Analysis and Simulation   (Барри Л. Нельсон: Вероятностное моделирование. Изучение и моделирование)
Издательство: Dover
Классификация:
Алгебра
Вероятность и статистика
Прикладная математика

ISBN: 0486477703
ISBN-13(EAN): 9780486477701
ISBN: 0-486-47770-3
ISBN-13(EAN): 978-0-486-47770-1
Обложка/Формат: Paperback
Страницы: 336
Вес: 0.428 кг.
Дата издания: 21.04.2010
Серия: Dover books on mathematics
Язык: ENG
Иллюстрации: Illustrations
Размер: 6 1/8 x 9 1/4 inch
Читательская аудитория: General (us: trade)
Подзаголовок: Analysis & simulation
Рейтинг:
Поставляется из: США
Описание: A coherent introduction to the techniques for modeling dynamic stochastic systems, this volume also offers a guide to the mathematical, numerical, and simulation tools of systems analysis. Suitable for advanced undergraduates and graduate-level industrial engineers and management science majors, it proposes modeling systems in terms of their simulation, regardless of whether simulation is employed for analysis.
Beginning with a view of the conditions that permit a mathematical-numerical analysis, the text explores Poisson and renewal processes, Markov chains in discrete and continuous time, semi-Markov processes, and queuing processes. Each chapter opens with an illustrative case study, and comprehensive presentations include formulation of models, determination of parameters, analysis, and interpretation of results. Programming language-independent algorithms appear for all simulation and numerical procedures. Solutions to the exercises are available upon request from the publisher at editors@doverpublications.com.


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Introduction to Stochastic Processes

Автор: Cinlar, Erhan
Название: Introduction to Stochastic Processes
ISBN: 0486497976 ISBN-13(EAN): 9780486497976
Издательство: Dover
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Цена: 2105 р.
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Описание: This clear presentation of the most fundamental models of random phenomena employs methods that recognize computer-related aspects of theory. The text emphasizes the modern viewpoint, in which the primary concern is the behavior of sample paths. By employing matrix algebra and recursive methods, rather than transform methods, it provides techniques readily adaptable to computing with machines.
Topics include probability spaces and random variables, expectations and independence, Bernoulli processes and sums of independent random variables, Poisson processes, Markov chains and processes, and renewal theory. Assuming some background in calculus but none in measure theory, the complete, detailed, and well-written treatment is suitable for engineering students in applied mathematics and operations research courses as well as those in a wide variety of other scientific fields. Many numerical examples, worked out in detail, appear throughout the text, in addition to numerous end-of-chapter exercises and answers to selected exercises.

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Stochastic Processes and Filtering Theory

Автор: Jazwinski Andrew
Название: Stochastic Processes and Filtering Theory
ISBN: 0486462749 ISBN-13(EAN): 9780486462745
Издательство: Dover
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Цена: 1949 р.
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Описание: 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.

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Introduction to Stochastic Control Theory

Автор: Astrom Karl
Название: Introduction to Stochastic Control Theory
ISBN: 0486445313 ISBN-13(EAN): 9780486445311
Издательство: Dover
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Цена: 1402 р.
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Описание: This text for upper-level undergraduates and graduate students explores stochastic control theory in terms of analysis, parametric optimization, and optimal stochastic control. Limited to linear systems with quadratic criteria, it covers discrete time as well as continuous time systems. 1970 edition.

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Introduction to Simulation and Risk Analysis, Second Edition

Автор: Evans, James
Название: Introduction to Simulation and Risk Analysis, Second Edition
ISBN: 0486779890 ISBN-13(EAN): 9780486779898
Издательство: Dover
Цена: 1949 р.
Наличие на складе: Поставка под заказ.

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Stochastic Modeling: Analysis & Simulation

Автор: Barry L. Nelson
Название: Stochastic Modeling: Analysis & Simulation
ISBN: 048642569X ISBN-13(EAN): 9780486425696
Издательство: Dover
Цена: 1636 р.
Наличие на складе: Поставка под заказ.

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Nonstandard Methods in Stochastic Analysis and Mathematical Physics

Автор: Albeverio Sergio
Название: Nonstandard Methods in Stochastic Analysis and Mathematical Physics
ISBN: 0486468992 ISBN-13(EAN): 9780486468990
Издательство: Dover
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Цена: 2340 р.
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Описание: Two-part treatment begins with a self-contained introduction to the subject, followed by applications to stochastic analysis and mathematical physics. "A welcome addition." - Bulletin of the American Mathematical Society. 1986 edition.

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Foundations of Stochastic Analysis

Автор: Rao M.
Название: Foundations of Stochastic Analysis
ISBN: 0486481220 ISBN-13(EAN): 9780486481227
Издательство: Dover
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Цена: 1793 р.
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Описание: Stochastic analysis involves the study of a process involving a randomly determined sequence of observations, each of which represents a sample of one element of probability distribution. This volume considers fundamental theories and contrasts the natural interplay between real and abstract methods.
Starting with the introduction of the basic Kolmogorov-Bochner existence theorem, the text explores conditional expectations and probabilities as well as projective and direct limits. Subsequent chapters examine several aspects of discrete martingale theory, including applications to ergodic theory, likelihood ratios, and the Gaussian dichotomy theorem. Prerequisites include a standard measure theory course. No prior knowledge of probability is assumed; therefore, most of the results are proved in detail. Each chapter concludes with a problem section that features many hints and facts, including the most important results in information theory.

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Stochastic Models in Operations Research, Vol. I: Stochastic Processes and Operating Characteristics

Автор: Heyman Daniel P.
Название: Stochastic Models in Operations Research, Vol. I: Stochastic Processes and Operating Characteristics
ISBN: 0486432599 ISBN-13(EAN): 9780486432595
Издательство: Dover
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Цена: 2340 р.
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Описание: The first of a two-volume set begins with discussions of stochastic processes, including posterity analysis, birth-and-death processes, renewal theory, renewal-reward and regenerative processes, Markov chains, continuous-time Markov chains, Markov processes, and stationery processes and ergodic theory. Its coverage of operating characteristics of stochastic systems examines system properties, networks of queues, and bounds and approximations.
This two-volume set of texts explores the central facts and ideas of stochastic processes, illustrating their use in models based on applied and theoretical investigations. They demonstrate the interdependence of three areas of study that usually receive separate treatments: stochastic processes, operating characteristics of stochastic systems, and stochastic optimization.
Comprehensive in its scope, this work emphasizes the practical importance, intellectual stimulation, and mathematical elegance of stochastic models. It is intended primarily as a graduate-level text for studies in operations research, management science, computer science, and all branches of engineering, applied mathematics, statistics, and economics.

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Stochastic Methods in Quantum Mechanics

Автор: Gudder, Stanley
Название: Stochastic Methods in Quantum Mechanics
ISBN: 0486788237 ISBN-13(EAN): 9780486788234
Издательство: Dover
Цена: 2340 р.
Наличие на складе: Поставка под заказ.

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Stochastic Finite Elements: A Spectral Approach

Автор: Ghanem Roger G.
Название: Stochastic Finite Elements: A Spectral Approach
ISBN: 0486428184 ISBN-13(EAN): 9780486428185
Издательство: Dover
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Цена: 1324 р.
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Описание: Discrepancies frequently occur between a physical system's responses and predictions obtained from mathematical models. The Spectral Stochastic Finite Element Method (SSFEM) has proven successful at forecasting a variety of uncertainties in calculating system responses. This text analyzes a class of discrete mathematical models of engineering systems, identifying key issues and reviewing relevant theoretical concepts, with particular attention to a spectral approach.
Random system parameters are modeled as second-order stochastic processes, defined by their mean and covariance functions. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is employed to represent these processes in terms of a countable set of uncorrected random variables, casting the problem in a finite dimensional setting. Various spectral approximations for the stochastic response of the system are obtained. Implementing the concept of generalized inverse leads to an explicit expression for the response process as a multivariate polynomial functional of a set of uncorrelated random variables. Alternatively, the solution process is treated as an element in the Hilbert space of random functions, in which a spectral representation is identified in terms of polynomial chaos. In this context, the solution process is approximated by its projection onto a finite subspace spanned by these polynomials.

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Stochastic Differential Equations and Applications

Автор: Friedman Avner
Название: Stochastic Differential Equations and Applications
ISBN: 0486453596 ISBN-13(EAN): 9780486453590
Издательство: Dover
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Цена: 2574 р.
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Stochastic Finite Elements: A Spectral Approach, Revised Edition

Автор: Ghanem, Roger G.
Название: Stochastic Finite Elements: A Spectral Approach, Revised Edition
ISBN: 0486786099 ISBN-13(EAN): 9780486786094
Издательство: Dover
Цена: 2652 р.
Наличие на складе: Поставка под заказ.

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