Two-Scale Stochastic Systems / Asymptotic Analysis and Control, Kabanov Yuri, Pergamenshchikov Sergei
Автор: Kabanov, Yuri, Pergamenshchikov, Sergei Название: Two-Scale Stochastic Systems ISBN: 3662132427 ISBN-13(EAN): 9783662132425 Издательство: Springer Цена: р. Наличие на складе: Невозможна поставка.
Описание: This book provides an approach to the study of perturbation and discretization effects on the long-time behavior of dynamical and control systems. It analyzes the impact of time and space discretizations on asymptotically stable attracting sets, attractors, asumptotically controllable sets and their respective domains of attractions and reachable sets. Combining robust stability concepts from nonlinear control theory, techniques from optimal control and differential games and methods from nonsmooth analysis, both qualitative and quantitative results are obtained and new algorithms are developed, analyzed and illustrated by examples.
Автор: Cousteix Jean, Mauss Jacques Название: Asymptotic Analysis and Boundary Layers ISBN: 3540464883 ISBN-13(EAN): 9783540464884 Издательство: Springer Рейтинг: Цена: 13584 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Murray Название: Asymptotic Analysis ISBN: 0387909370 ISBN-13(EAN): 9780387909370 Издательство: Springer Рейтинг: Цена: 10027 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An introduction to asymptotic analysis, a subject important for its capacity to circumvent theoretical and practical obstacles, and therefore particularly prized in the applications of mathematics. It presents a balanced view of the methods and their usefulness.
Описание: Consists of the proceedings of the 14th MSJ International Research Institute `Asymptotic Analysis and Singularity`, which was held at Sendai, Japan in July 2005. This title includes survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.
Описание: Quantum statistical inference, a research field with deep roots in the foundations of both quantum physics and mathematical statistics, has made remarkable
progress since 1990. In particular, its asymptotic theory has been developed during this period. However, there has hitherto been no book covering this remarkable progress after 1990;
the famous textbooks by Holevo and Helstrom deal only with research results in the earlier stage (1960s-1970s).
This book presents the important and recent results of
quantum statistical inference. It focuses on the asymptotic theory, which is one of the central issues of mathematical statistics and had not been investigated in quantum statistical
inference until the early 1980s. It contains outstanding papers after Holevo's textbook, some of which are of great importance but are not available now.
The reader is
expected to have only elementary mathematical knowledge, and therefore much of the content will be accessible to graduate students as well as research workers in related fields.
Introductions to quantum statistical inference have been specially written for the book. Asymptotic Theory of Quantum Statistical Inference: Selected Papers will give the reader a new
insight into physics and statistical inference.
Описание: This book brings together several contributions from leading experts in the field of nonlinear wave propagation. This field, which during the last three decades
has seen important breakthroughs from the theoretical point of view, has recently acquired increased relevance due to advances in the technology of fluids e.g. at microscale or
nanoscale and the recognition of crucial applications to the understanding of biological phenomena.
Nonlinear wave theory requires the use of disparate approaches,
including formal and rigorous asymptotic methods, Lie group theory, energy methods, numerical analysis, and bifurcation theory. This book presents a unique blend in which different
aspects of the theory are enlightened and several real-life applications are investigated. The book will be a valuable resource for applied scientists interested in some of the most recent
advances in the theory and in the applications of wave propagation, shock formation, nonequilibrium thermodynamics and energy methods.
Описание: Otherwise the reader is expected to possess some mathematical maturity, but not really a great deal of detailed mathematical knowledge. An "experiment" is a mathe- matical abstraction intended to describe the basic features of an observational process if that process is contemplated in advance of its implementation.
This brief treats dynamical systems that involve delays and random disturbances. The study is motivated by a wide variety of systems in real life in which random noise has to be taken into consideration and the effect of delays cannot be ignored. Concentrating on such systems that are described by functional stochastic differential equations, this work focuses on the study of large time behavior, in particular, ergodicity.
This brief is written for probabilists, applied mathematicians, engineers, and scientists who need to use delay systems and functional stochastic differential equations in their work. Selected topics from the brief can also be used in a graduate level topics course in probability and stochastic processes.
Автор: A. W. Vaart Название: Asymptotic Statistics ISBN: 0521784506 ISBN-13(EAN): 9780521784504 Издательство: Cambridge Academ Рейтинг: Цена: 5751 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is an introduction to the field of asymptotic statistics. The treatment is both practical and mathematically rigorous. In addition to most of the standard topics of an asymptotics course, including likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures, the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes and their applications. The topics are organized from the central idea of approximation by limit experiments, which gives the book one of its unifying themes. This entails mainly the local approximation of the classical i.i.d. set up with smooth parameters by location experiments involving a single, normally distributed observation. Thus, even the standard subjects of asymptotic statistics are presented in a novel way. Suitable as a graduate or Master’s level statistics text, this book will also give researchers an overview of the latest research in asymptotic statistics.
Описание: This unique book delivers an encyclopedic treatment of classic as well as contemporary large sample theory. It deals with both statistical problems and probabilistic issues and tools. The book`s detailed coverage is written in an extremely lucid style.
Описание: Exact statistical inference may be employed in diverse fields of science and technology. As problems become more complex and sample sizes become larger, mathematical and computational difficulties can arise that require the use of approximate statistical methods. Such methods are justified by asymptotic arguments but are still based on the concepts and principles that underlie exact statistical inference. With this in perspective, this book presents a broad view of exact statistical inference and the development of asymptotic statistical inference, providing a justification for the use of asymptotic methods for large samples. Methodological results are developed on a concrete and yet rigorous mathematical level and are applied to a variety of problems that include categorical data, regression, and survival analyses. This book is designed as a textbook for advanced undergraduate or beginning graduate students in statistics, biostatistics, or applied statistics but may also be used as a reference for academic researchers.
Автор: Sychev Название: Asymptotic Theory of Separated Flows ISBN: 0521065879 ISBN-13(EAN): 9780521065870 Издательство: Cambridge Academ Рейтинг: Цена: 3220 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents the asymptotic theory of separate flows in a systematic account.
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