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Weak Convergence and Empirical Processes: With Applications to Statistics, A. W. van der Vaart, Jon A. Wellner


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Автор: A. W. van der Vaart, Jon A. Wellner   (Ван дер Ваарт)
Название:  Weak Convergence and Empirical Processes: With Applications to Statistics
Перевод названия: Ван дер Ваарт: Слабая сходимость и эмпирические процессы
ISBN: 9783031290381
Издательство: Springer
Классификация:
ISBN-10: 3031290380
Обложка/Формат: Hardback
Вес: 0.00 кг.
Дата издания: 26.07.2023
Язык: English
Основная тема: Statistics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book provides an account of weak convergence theory, empirical processes, and their application to a wide variety of problems in statistics. The first part of the book presents a thorough treatment of stochastic convergence in its various forms. Part 2 brings together the theory of empirical processes in a form accessible to statisticians and probabilists. In Part 3, the authors cover a range of applications in statistics including rates of convergence of estimators; limit theorems for M? and Z?estimators; the bootstrap; the functional delta-method and semiparametric estimation. Most of the chapters conclude with “problems and complements.” Some of these are exercises to help the reader’s understanding of the material, whereas others are intended to supplement the text. This second edition includes many of the new developments in the field since publication of the first edition in 1996: Glivenko-Cantelli preservation theorems; new bounds on expectations of suprema of empirical processes; new bounds on covering numbers for various function classes; generic chaining; definitive versions of concentration bounds; and new applications in statistics including penalized M-estimation, the lasso, classification, and support vector machines. The approximately 200 additional pages also round out classical subjects, including chapters on weak convergence in Skorokhod space, on stable convergence, and on processes based on pseudo-observations.
Дополнительное описание: Preface.- Reading Guide.- Part I: Stochastic Convergence.- Part 2: Empirical Processes.- Part 3: Statistical Applications.- Appendix.- References.- Author Index.- Subject Index.- List of Symbols.



Stochastic Processes

Автор: Gallager
Название: Stochastic Processes
ISBN: 1107039754 ISBN-13(EAN): 9781107039759
Издательство: Cambridge Academ
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Цена: 11246.00 р.
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Описание: This definitive textbook provides a solid introduction to stochastic processes, covering both theory and applications. It is written by one of the world`s leading information theorists, evolving over twenty years of graduate classroom teaching, and is accompanied by over 300 exercises, with online solutions for instructors.

Автор: Gates, Kathleen,
Название: Intensive longitudinal analysis of human processes /
ISBN: 1482230593 ISBN-13(EAN): 9781482230598
Издательство: Taylor&Francis
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Цена: 14545.00 р.
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Описание: This book focuses on a span of statistical topics relevant to researchers who seek to conduct person-specific analysis of human data. The primary audience are students and researchers in psychometrics, quantitative psychology, psychophysiology and neurocognition. This book can be used for both teaching and research.

Probability Theory and Statistical Inference: Empirical Modeling with Observational Data

Автор: Aris Spanos
Название: Probability Theory and Statistical Inference: Empirical Modeling with Observational Data
ISBN: 1316636372 ISBN-13(EAN): 9781316636374
Издательство: Cambridge Academ
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Цена: 8554.00 р.
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Описание: Doubt over the trustworthiness of published empirical results is often a result of statistical mis-specification or invalid probabilistic assumptions. This course in empirical research methods enables the specification and validation of statistical models, facilitating their informed implementation and giving rise to trustworthy evidence.

Discretization and MCMC Convergence Assessment

Автор: Christian P. Robert
Название: Discretization and MCMC Convergence Assessment
ISBN: 0387985913 ISBN-13(EAN): 9780387985916
Издательство: Springer
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Цена: 16769.00 р.
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Описание: The development of Markov Chain in Monte Carlo Methods allow Bayesian statisticians to perform computations that were impossible just a few years ago. This book is of interest to researchers in this active area.

Weak convergence and empirical processes

Автор: Vaart, Aad Van Der Wellner, Jon A.
Название: Weak convergence and empirical processes
ISBN: 1475725477 ISBN-13(EAN): 9781475725476
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This book explores weak convergence theory and empirical processes and their applications to many applications in statistics. Part two offers the theory of empirical processes in a form accessible to statisticians and probabilists.

Weak Convergence of Stochastic Processes: With Applications to Statistical Limit Theorems

Автор: Vidyadhar S. Mandrekar
Название: Weak Convergence of Stochastic Processes: With Applications to Statistical Limit Theorems
ISBN: 3110475421 ISBN-13(EAN): 9783110475425
Издательство: Walter de Gruyter
Цена: 11148.00 р.
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Описание: The purpose of this book is to present results on the subject of weak convergence in function spaces to study invariance principles in statistical applications to dependent random variables, U-statistics, censor data analysis. Different techniques, formerly available only in a broad range of literature, are for the first time presented here in a self-contained fashion. Contents:Weak convergence of stochastic processesWeak convergence in metric spacesWeak convergence on C[0, 1] and D[0,?)Central limit theorem for semi-martingales and applicationsCentral limit theorems for dependent random variablesEmpirical processBibliography

Analysis and Approximation of Rare Events: Representations and Weak Convergence Methods

Автор: Budhiraja Amarjit, Dupuis Paul
Название: Analysis and Approximation of Rare Events: Representations and Weak Convergence Methods
ISBN: 1493995774 ISBN-13(EAN): 9781493995776
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This book presents broadly applicable methods for the large deviation and moderate deviation analysis of discrete and continuous time stochastic systems. A feature of the book is the systematic use of variational representations for quantities of interest such as normalized logarithms of probabilities and expected values. By characterizing a large deviation principle in terms of Laplace asymptotics, one converts the proof of large deviation limits into the convergence of variational representations. These features are illustrated though their application to a broad range of discrete and continuous time models, including stochastic partial differential equations, processes with discontinuous statistics, occupancy models, and many others. The tools used in the large deviation analysis also turn out to be useful in understanding Monte Carlo schemes for the numerical approximation of the same probabilities and expected values. This connection is illustrated through the design and analysis of importance sampling and splitting schemes for rare event estimation. The book assumes a solid background in weak convergence of probability measures and stochastic analysis, and is suitable for advanced graduate students, postdocs and researchers.

Analysis and Approximation of Rare Events: Representations and Weak Convergence Methods

Автор: Budhiraja Amarjit, Dupuis Paul
Название: Analysis and Approximation of Rare Events: Representations and Weak Convergence Methods
ISBN: 1493996223 ISBN-13(EAN): 9781493996223
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This book presents broadly applicable methods for the large deviation and moderate deviation analysis of discrete and continuous time stochastic systems. By characterizing a large deviation principle in terms of Laplace asymptotics, one converts the proof of large deviation limits into the convergence of variational representations.

Weak Dependence: With Examples and Applications

Автор: J?rome Dedecker; Paul Doukhan; Gabriel Lang; Jos?
Название: Weak Dependence: With Examples and Applications
ISBN: 0387699511 ISBN-13(EAN): 9780387699516
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Develops Doukhan/Louhichi`s 1999 idea to measure asymptotic independence of a random process.

Convergence of Stochastic Processes

Автор: D. Pollard
Название: Convergence of Stochastic Processes
ISBN: 1461297583 ISBN-13(EAN): 9781461297581
Издательство: Springer
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Цена: 16769.00 р.
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Описание: A more accurate title for this book might be: An Exposition of Selected Parts of Empirical Process Theory, With Related Interesting Facts About Weak Convergence, and Applications to Mathematical Statistics. The material is somewhat arbitrarily divided into results used to prove consistency theorems and results used to prove central limit theorems.

Asymptotic Theory of Weakly Dependent Random Processes

Автор: Emmanuel Rio
Название: Asymptotic Theory of Weakly Dependent Random Processes
ISBN: 3662543222 ISBN-13(EAN): 9783662543221
Издательство: Springer
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Цена: 15372.00 р.
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Описание:

Ces notes sont consacr es aux in galit s et aux th or mes limites classiques pour les suites de variables al atoires absolument r guli res ou fortement m langeantes au sens de Rosenblatt. Le but poursuivi est de donner des outils techniques pour l' tude des processus faiblement d pendants aux statisticiens ou aux probabilistes travaillant sur ces processus.

Strong and Weak Approximation of Semilinear Stochastic Evolution Equations

Автор: Raphael Kruse
Название: Strong and Weak Approximation of Semilinear Stochastic Evolution Equations
ISBN: 331902230X ISBN-13(EAN): 9783319022307
Издательство: Springer
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Цена: 4890.00 р.
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Описание:

Introduction.- Stochastic Evolution Equations in Hilbert Spaces.- Optimal Strong Error Estimates for Galerkin Finite Element Methods.- A Short Review of the Malliavin Calculus in Hilbert Spaces.- A Malliavin Calculus Approach to Weak Convergence.- Numerical Experiments.- Some Useful Variations of Gronwall's Lemma.- Results on Semigroups and their Infinitesimal Generators.- A Generalized Version of Lebesgue's Theorem.- References.- Index.


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