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Analysis on Gaussian Spaces, Hu Yaozhong


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Автор: Hu Yaozhong
Название:  Analysis on Gaussian Spaces
ISBN: 9789813142176
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 9813142170
Обложка/Формат: Hardback
Страницы: 484
Вес: 0.77 кг.
Дата издания: 18.10.2016
Серия: Mathematics
Язык: English
Размер: 160 x 236 x 31
Читательская аудитория: College/higher education
Ключевые слова: Probability & statistics, MATHEMATICS / Functional Analysis,MATHEMATICS / Mathematical Analysis,MATHEMATICS / Probability & Statistics / Stochastic
Поставляется из: Англии
Описание: Written by a well-known expert in fractional stochastic calculus, this book offers a comprehensive overview of Gaussian analysis, with particular emphasis on nonlinear Gaussian functionals. In addition, it covers some topics that are not frequently encountered in other treatments, such as Littlewood-Paley-Stein, etc. This coverage makes the book a valuable addition to the literature. Many results presented in this book were hitherto available only in the research literature in the form of research papers by the author and his co-authors.Mathematical Reviews ClippingsAnalysis of functions on the finite dimensional Euclidean space with respect to the Lebesgue measure is fundamental in mathematics. The extension to infinite dimension is a great challenge due to the lack of Lebesgue measure on infinite dimensional space. Instead the most popular measure used in infinite dimensional space is the Gaussian measure, which has been unified under the terminology of abstract Wiener space.Out of the large amount of work on this topic, this book presents some fundamental results plus recent progress. We shall present some results on the Gaussian space itself such as the Brunn-Minkowski inequality, Small ball estimates, large tail estimates. The majority part of this book is devoted to the analysis of nonlinear functions on the Gaussian space. Derivative, Sobolev spaces are introduced, while the famous Poincar inequality, logarithmic inequality, hypercontractive inequality, Meyers inequality, Littlewood-Paley-Stein-Meyer theory are given in details.This book includes some basic material that cannot be found elsewhere that the author believes should be an integral part of the subject. For example, the book includes some interesting and important inequalities, the Littlewood-Paley-Stein-Meyer theory, and the H rmander theorem. The book also includes some recent progress achieved by the author and collaborators on density convergence, numerical solutions, local times.


Probability Distributions Involving Gaussian Random Variables / A Handbook for Engineers and Scientists

Автор: Simon Marvin K., Riedel Eibe
Название: Probability Distributions Involving Gaussian Random Variables / A Handbook for Engineers and Scientists
ISBN: 0387346570 ISBN-13(EAN): 9780387346571
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This handbook brings together a comprehensive collection of mathematical material in one location. It also offers a variety of new results interpreted in a form that is particularly useful to engineers, scientists, and applied mathematicians.

Topics in Non-Gaussian Signal Processing

Автор: Edward J. Wegman; Stuart C. Schwartz; John B. Thom
Название: Topics in Non-Gaussian Signal Processing
ISBN: 1461388619 ISBN-13(EAN): 9781461388616
Издательство: Springer
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Цена: 14673.00 р.
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Описание: Non-Gaussian Signal Processing is a child of a technological push. This in turn opens the door to a fundamental reexamination of structure and inference methods for non-Gaussian sto- chastic processes together with the application of such processes as models in the context of filtering, estimation, detection and signal extraction.

Stochastic Analysis For Gaussian Ra

Автор: Mandrekar
Название: Stochastic Analysis For Gaussian Ra
ISBN: 1498707815 ISBN-13(EAN): 9781498707817
Издательство: Taylor&Francis
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Цена: 15312.00 р.
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Описание:

Stochastic Analysis for Gaussian Random Processes and Fields: With Applications presents Hilbert space methods to study deep analytic properties connecting probabilistic notions. In particular, it studies Gaussian random fields using reproducing kernel Hilbert spaces (RKHSs).

The book begins with preliminary results on covariance and associated RKHS before introducing the Gaussian process and Gaussian random fields. The authors use chaos expansion to define the Skorokhod integral, which generalizes the It integral. They show how the Skorokhod integral is a dual operator of Skorokhod differentiation and the divergence operator of Malliavin. The authors also present Gaussian processes indexed by real numbers and obtain a Kallianpur-Striebel Bayes' formula for the filtering problem. After discussing the problem of equivalence and singularity of Gaussian random fields (including a generalization of the Girsanov theorem), the book concludes with the Markov property of Gaussian random fields indexed by measures and generalized Gaussian random fields indexed by Schwartz space. The Markov property for generalized random fields is connected to the Markov process generated by a Dirichlet form.

Gaussian Measures in Banach Spaces

Автор: H.-H. Kuo
Название: Gaussian Measures in Banach Spaces
ISBN: 3540071733 ISBN-13(EAN): 9783540071730
Издательство: Springer
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Цена: 6288.00 р.
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Gaussian Markov Random Fields

Автор: Rue
Название: Gaussian Markov Random Fields
ISBN: 1584884320 ISBN-13(EAN): 9781584884323
Издательство: Taylor&Francis
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Цена: 24499.00 р.
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Описание: Gaussian Markov Random Field (GMRF) models, most widely used in spatial statistics are presented in this, the first book on the subject that provides a unified framework of GMRFs with particular emphasis on the computational aspects.

Large deviations for gaussian queues

Автор: Mandjes, Michel
Название: Large deviations for gaussian queues
ISBN: 0470015233 ISBN-13(EAN): 9780470015230
Издательство: Wiley
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Цена: 17891.00 р.
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Описание: Demonstrates how the Gaussian traffic model arises naturally, and how the analysis of the corresponding queuing model can be performed. This text provides an introduction to Gaussian queues, and surveys research into the modelling of communications networks. It is useful for postgraduate students in applied probability, and operations research.

Gaussian and Non-Gaussian Linear Time Series and Random Fields

Автор: Murray Rosenblatt
Название: Gaussian and Non-Gaussian Linear Time Series and Random Fields
ISBN: 1461270677 ISBN-13(EAN): 9781461270676
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The principal focus here is on autoregressive moving average models and analogous random fields, with probabilistic and statistical questions also being discussed.

Handbook for Applied Modeling: Non-Gaussian and Correlated Data

Автор: Jamie D. Riggs
Название: Handbook for Applied Modeling: Non-Gaussian and Correlated Data
ISBN: 1316601056 ISBN-13(EAN): 9781316601051
Издательство: Cambridge Academ
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Цена: 6019.00 р.
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Описание: Designed for the applied practitioner, this book is a compact, entry-level guide to modeling and analyzing data that fail idealized assumptions. It explains and demonstrates core techniques, common pitfalls and data issues, and interpretation of model results, all with a focus on application, utility, and real-life data.

Statistical Properties of the Generalized Inverse Gaussian Distribution

Автор: B. Jorgensen
Название: Statistical Properties of the Generalized Inverse Gaussian Distribution
ISBN: 0387906657 ISBN-13(EAN): 9780387906652
Издательство: Springer
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Цена: 12157.00 р.
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Gaussian Random Processes

Автор: A.B. Aries; I.A. Ibragimov; Y.A. Rozanov
Название: Gaussian Random Processes
ISBN: 1461262771 ISBN-13(EAN): 9781461262770
Издательство: Springer
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Цена: 19564.00 р.
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Описание: The book deals mainly with three problems involving Gaussian stationary processes. The second problem mentioned above is closely related with problems involving ergodic theory of Gaussian dynamic systems as well as prediction theory of stationary processes.

Electron Correlation in Molecules - ab initio Beyond Gaussian Qua

Автор: Philip E. Hoggan
Название: Electron Correlation in Molecules - ab initio Beyond Gaussian Qua
ISBN: 0128030607 ISBN-13(EAN): 9780128030608
Издательство: Elsevier Science
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Цена: 30318.00 р.
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Описание: "Electron Correlation in Molecules ab initio Beyond Gaussian Quantum Chemistry" presents a series of articles concerning important topics in quantum chemistry, including surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology.
Presents surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biologyFeatures detailed reviews written by leading international researchersThe volume includes review on all the topics treated by world renown authors and cutting edge research contributions."

Sums and Gaussian Vectors

Автор: Vadim Yurinsky
Название: Sums and Gaussian Vectors
ISBN: 3540603115 ISBN-13(EAN): 9783540603115
Издательство: Springer
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Цена: 6282.00 р.
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Описание: Surveys the methods applied to study sums of infinite-dimensional independent random vectors in situations where their distributions resemble Gaussian laws. This book covers probabilities of large deviations, Chebyshev-type inequalities for seminorms of sums, and a method of constructing Edgeworth-type expansions.


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