Asymptotic Analysis of Mixed Effects Models, Jiang, Jiming
Автор: Kabanov Yuri, Pergamenshchikov Sergei Название: Two-Scale Stochastic Systems / Asymptotic Analysis and Control ISBN: 3540653325 ISBN-13(EAN): 9783540653325 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Two-scale systems described by singularly perturbed SDEs have been the subject of ample literature. However, this new monograph develops subjects that were rarely addressed and could be given the collective description "Stochastic Tikhonov-Levinson theory and its applications." The book provides a mathematical apparatus designed to analyze the dynamic behaviour of a randomly perturbed system with fast and slow variables. In contrast to the deterministic Tikhonov-Levinson theory, the basic model is described in a more realistic way by stochastic differential equations. This leads to a number of new theoretical questions but simultaneously allows us to treat in a unified way a surprisingly wide spectrum of applications like fast modulations, approximate filtering, and stochastic approximation.
Автор: Monika Ludwig; Vitali D. Milman; Vladimir Pestov; Название: Asymptotic Geometric Analysis ISBN: 1489993312 ISBN-13(EAN): 9781489993311 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book examines methods for analyzing the geometric and linear properties of finite dimensional objects, normed spaces and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity.
Автор: Masanobu Taniguchi Название: Higher Order Asymptotic Theory for Time Series Analysis ISBN: 0387975462 ISBN-13(EAN): 9780387975467 Издательство: Springer Рейтинг: Цена: 107130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: I received a lot of impact from multivariate analysis, and applied many multivariate methods to the higher order asymptotic theory of vector time series. When I was a student of Osaka University I learned multivariate analysis and time series analysis from Professors Masashi Okamoto and T.
Автор: Yuri Kabanov; Sergei Pergamenshchikov Название: Two-Scale Stochastic Systems ISBN: 3642084672 ISBN-13(EAN): 9783642084676 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Daniil Ryabko Название: Asymptotic Nonparametric Statistical Analysis of Stationary Time Series ISBN: 3030125637 ISBN-13(EAN): 9783030125639 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Stationarity is a very general, qualitative assumption, that can be assessed on the basis of application specifics. It is thus a rather attractive assumption to base statistical analysis on, especially for problems for which less general qualitative assumptions, such as independence or finite memory, clearly fail. However, it has long been considered too general to be able to make statistical inference. One of the reasons for this is that rates of convergence, even of frequencies to the mean, are not available under this assumption alone. Recently, it has been shown that, while some natural and simple problems, such as homogeneity, are indeed provably impossible to solve if one only assumes that the data is stationary (or stationary ergodic), many others can be solved with rather simple and intuitive algorithms. The latter include clustering and change point estimation among others. In this volume I summarize these results. The emphasis is on asymptotic consistency, since this the strongest property one can obtain assuming stationarity alone. While for most of the problem for which a solution is found this solution is algorithmically realizable, the main objective in this area of research, the objective which is only partially attained, is to understand what is possible and what is not possible to do for stationary time series. The considered problems include homogeneity testing (the so-called two sample problem), clustering with respect to distribution, clustering with respect to independence, change point estimation, identity testing, and the general problem of composite hypotheses testing. For the latter problem, a topological criterion for the existence of a consistent test is presented. In addition, a number of open problems is presented.
Автор: Kulinich Grigorij, Kushnirenko Svitlana, Mishura Yuliya Название: Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations ISBN: 3030412903 ISBN-13(EAN): 9783030412906 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is devoted to unstable solutions of stochastic differential equations (SDEs).
Автор: Fujikoshi Yasunori, Ulyanov Vladimir V. Название: Non-Asymptotic Analysis of Approximations for Multivariate Statistics ISBN: 9811326150 ISBN-13(EAN): 9789811326158 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents recent non-asymptotic results for approximations in multivariate statistical analysis. It then introduces new areas of research in high-dimensional approximations for bootstrap procedures, Cornish-Fisher expansions, power-divergence statistics and approximations of statistics based on observations with random sample size.
Автор: A.A. Borovkov Название: Asymptotic Analysis of Random Walks: Light-Tailed Distributions ISBN: 1107074681 ISBN-13(EAN): 9781107074682 Издательство: Cambridge Academ Рейтинг: Цена: 132000.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is a complete and systematic modern treatise on large deviation theory for random walks with light-tailed jump distributions, presented by one of its key creators. Such distributions have numerous applications in statistics, ruin theory, and queuing theory. This is a companion to the author`s earlier monograph on heavy-tailed distributions.
Автор: Kulinich Grigorij, Kushnirenko Svitlana, Mishura Yuliya Название: Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations ISBN: 3030412938 ISBN-13(EAN): 9783030412937 Издательство: Springer Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is devoted to unstable solutions of stochastic differential equations (SDEs).
Автор: Pronzato Luc Название: Design of Experiments in Nonlinear Models ISBN: 1461463629 ISBN-13(EAN): 9781461463627 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book thoroughly explores connections between the asymptotic properties of estimators in parametric models and experimental design, focused on the estimation of a nonlinear function of the model parameters, models with heteroscedastic errors and more.
Автор: Saldi, Naci. Название: Finite approximations in discrete-time stochastic control : ISBN: 3319790323 ISBN-13(EAN): 9783319790329 Издательство: Springer Рейтинг: Цена: 60550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
In a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces. It demonstrates how quantization provides a system-independent and constructive method for the reduction of a system with Borel spaces to one with finite state, measurement, and action spaces. In addition to this constructive view, the book considers both the information transmission approach for discretization of actions, and the computational approach for discretization of states and actions. Part I of the text discusses Markov decision processes and their finite-state or finite-action approximations, while Part II builds from there to finite approximations in decentralized stochastic control problems.
This volume is perfect for researchers and graduate students interested in stochastic controls. With the tools presented, readers will be able to establish the convergence of approximation models to original models and the methods are general enough that researchers can build corresponding approximation results, typically with no additional assumptions.
Автор: I. V. Basawa; D. J. Scott Название: Asymptotic Optimal Inference for Non-ergodic Models ISBN: 0387908102 ISBN-13(EAN): 9780387908106 Издательство: Springer Рейтинг: Цена: 107130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph contains a comprehensive account of the recent work of the authors and other workers on large sample optimal inference for non-ergodic models. The non-ergodic family of models can be viewed as an extension of the usual Fisher-Rao model for asymptotics, referred to here as an ergodic family.
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