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.
Автор: A. W. Vaart Название: Asymptotic Statistics ISBN: 0521784506 ISBN-13(EAN): 9780521784504 Издательство: Cambridge Academ Рейтинг: Цена: 9398 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: 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.
Автор: Sychev Название: Asymptotic Theory of Separated Flows ISBN: 0521065879 ISBN-13(EAN): 9780521065870 Издательство: Cambridge Academ Рейтинг: Цена: 5241 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents the asymptotic theory of separate flows in a systematic account.
Автор: Nikitin Название: Asymptotic Efficiency of Nonparametric Tests ISBN: 0521115922 ISBN-13(EAN): 9780521115926 Издательство: Cambridge Academ Рейтинг: Цена: 5241 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Making a substantiated choice of the most efficient statistical test is one of the basic problems of statistics. Asymptotic efficiency is an indispensable technique for comparing and ordering statistical tests in large samples. It is especially useful in nonparametric statistics where it is usually necessary to rely on heuristic tests. This monograph presents a unified treatment of the analysis and calculation of the asymptotic efficiencies of nonparametric tests. Powerful new methods are developed to evaluate explicitly different kinds of efficiencies. Of particular interest is the description of domains of the Bahadur local optimality and related characterisation problems based on recent research by the author. Other Russian results are also published here for the first time in English. Researchers, professionals and students in statistics will find this book invaluable.
Описание: This volume introduces a systematic approach to the solution of some mathematical problems that arise in the study of the hyperbolic-parabolic systems of equations that govern the motions of thermodynamic fluids. It is intended for a wide audience of theoretical and applied mathematicians with an interest in compressible flow, capillarity theory, and control theory. The focus is particularly on recent results concerning nonlinear asymptotic stability, which are independent of assumptions about the smallness of the initial data. Of particular interest is the loss of control that sometimes results when steady flows of compressible fluids are upset by large disturbances. The main ideas are illustrated in the context of three different physical problems: (i) A barotropic viscous gas in a fixed domain with compact boundary. The domain may be either an exterior domain or a bounded domain, and the boundary may be either impermeable or porous. (ii) An isothermal viscous gas in a domain with free boundaries. (iii) A heat-conducting, viscous polytropic gas.
Автор: Vladimir V. Sychev , Anatoly I. Ruban , Victor V. Название: Asymptotic Theory of Separated Flows ISBN: 0521455308 ISBN-13(EAN): 9780521455305 Издательство: Cambridge Academ Рейтинг: Цена: 17174 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents the asymptotic theory of separate flows in a systematic account.
Описание: This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greater generality. The core aims at proving an expansion up to o(1) for the logarithm of the partition function of the sinh-model. This is achieved by a combination of potential theory and large deviation theory so as to grasp the leading asymptotics described by an equilibrium measure, the Riemann-Hilbert approach to truncated Wiener-Hopf in order to analyse the equilibrium measure, the Schwinger-Dyson equations and the boostrap method to finally obtain an expansion of correlation functions and the one of the partition function. This book is addressed to researchers working in random matrices, statistical physics or integrable systems, or interested in recent developments of asymptotic analysis in those fields.
Описание: At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure; the corresponding central limit theorems; the combinatorics of modular curves and random trees with application to QFT; free probability and random matrices, and Hecke algebras.
Автор: Yakov Nikitin Название: Asymptotic Efficiency of Nonparametric Tests ISBN: 0521470293 ISBN-13(EAN): 9780521470292 Издательство: Cambridge Academ Рейтинг: Цена: 17714 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A unified treatment that presents powerful new methods to evaluate explicitly different kinds of efficiencies.
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: Murray Название: Asymptotic Analysis ISBN: 0387909370 ISBN-13(EAN): 9780387909370 Издательство: Springer Рейтинг: Цена: 14249 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.
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