Limit Theorems for Random Fields with Singular Spectrum

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Publisher : Springer
ISBN 13 : 9789401146081
Total Pages : 406 pages
Book Rating : 4.1/5 (46 download)

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Book Synopsis Limit Theorems for Random Fields with Singular Spectrum by : Nikolai Leonenko

Download or read book Limit Theorems for Random Fields with Singular Spectrum written by Nikolai Leonenko and published by Springer. This book was released on 2011-09-29 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Limit Theorems for Random Fields with Singular Spectrum

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401146071
Total Pages : 410 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Limit Theorems for Random Fields with Singular Spectrum by : Nicolai Leonenko

Download or read book Limit Theorems for Random Fields with Singular Spectrum written by Nicolai Leonenko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents limit theorems for nonlinear functionals of random fields with singular spectrum on the basis of various asymptotic expansions. The first chapter treats basic concepts of the spectral theory of random fields, some important examples of random processes and fields with singular spectrum, and Tauberian and Abelian theorems for covariance function of long-memory random fields. Chapter 2 is devoted to limit theorems for spherical averages of nonlinear transformations of Gaussian and chi-square random fields. Chapter 3 summarises some limit theorems for geometric type functionals of random fields. Limit theorems for the solutions of Burgers' equation with random data via parabolic and hyperbolic rescaling are demonstrated in Chapter 4. Lastly, Chapter 5 deals with some problems for statistical analysis of random fields with singular spectrum. Audience: This book will be of interest to mathematicians who use random fields in engineering or other applications.

Limit Theorems for Associated Random Fields and Related Systems

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Publisher : World Scientific
ISBN 13 : 9812709401
Total Pages : 447 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Limit Theorems for Associated Random Fields and Related Systems by : Aleksandr Vadimovich Bulinski?

Download or read book Limit Theorems for Associated Random Fields and Related Systems written by Aleksandr Vadimovich Bulinski? and published by World Scientific. This book was released on 2007 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the study of asymptotic properties of wide classes of stochastic systems arising in mathematical statistics, percolation theory, statistical physics and reliability theory. Attention is paid not only to positive and negative associations introduced in the pioneering papers by Harris, Lehmann, Esary, Proschan, Walkup, Fortuin, Kasteleyn and Ginibre, but also to new and more general dependence conditions. Naturally, this scope comprises families of independent real-valued random variables. A variety of important results and examples of Markov processes, random measures, stable distributions, Ising ferromagnets, interacting particle systems, stochastic differential equations, random graphs and other models are provided. For such random systems, it is worthwhile to establish principal limit theorems of the modern probability theory (central limit theorem for random fields, weak and strong invariance principles, functional law of the iterated logarithm etc.) and discuss their applications.There are 434 items in the bibliography.The book is self-contained, provides detailed proofs, for reader's convenience some auxiliary results are included in the Appendix (e.g. the classical Hoeffding lemma, basic electric current theory etc.).

Limit Theorems For Associated Random Fields And Related Systems

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Author :
Publisher : World Scientific
ISBN 13 : 9814474576
Total Pages : 447 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Limit Theorems For Associated Random Fields And Related Systems by : Alexander Bulinski

Download or read book Limit Theorems For Associated Random Fields And Related Systems written by Alexander Bulinski and published by World Scientific. This book was released on 2007-09-05 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the study of asymptotic properties of wide classes of stochastic systems arising in mathematical statistics, percolation theory, statistical physics and reliability theory. Attention is paid not only to positive and negative associations introduced in the pioneering papers by Harris, Lehmann, Esary, Proschan, Walkup, Fortuin, Kasteleyn and Ginibre, but also to new and more general dependence conditions. Naturally, this scope comprises families of independent real-valued random variables. A variety of important results and examples of Markov processes, random measures, stable distributions, Ising ferromagnets, interacting particle systems, stochastic differential equations, random graphs and other models are provided. For such random systems, it is worthwhile to establish principal limit theorems of the modern probability theory (central limit theorem for random fields, weak and strong invariance principles, functional law of the iterated logarithm etc.) and discuss their applications.There are 434 items in the bibliography.The book is self-contained, provides detailed proofs, for reader's convenience some auxiliary results are included in the Appendix (e.g. the classical Hoeffding lemma, basic electric current theory etc.).

Modern Stochastics and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3319035126
Total Pages : 352 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Modern Stochastics and Applications by : Volodymyr Korolyuk

Download or read book Modern Stochastics and Applications written by Volodymyr Korolyuk and published by Springer Science & Business Media. This book was released on 2014-01-30 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an extensive overview of all major modern trends in applications of probability and stochastic analysis. It will be a great source of inspiration for designing new algorithms, modeling procedures and experiments. Accessible to researchers, practitioners, as well as graduate and postgraduate students, this volume presents a variety of new tools, ideas and methodologies in the fields of optimization, physics, finance, probability, hydrodynamics, reliability, decision making, mathematical finance, mathematical physics and economics. Contributions to this Work include those of selected speakers from the international conference entitled “Modern Stochastics: Theory and Applications III,” held on September 10 –14, 2012 at Taras Shevchenko National University of Kyiv, Ukraine. The conference covered the following areas of research in probability theory and its applications: stochastic analysis, stochastic processes and fields, random matrices, optimization methods in probability, stochastic models of evolution systems, financial mathematics, risk processes and actuarial mathematics and information security.

Invariant Random Fields on Spaces with a Group Action

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Publisher : Springer Science & Business Media
ISBN 13 : 3642334067
Total Pages : 271 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Invariant Random Fields on Spaces with a Group Action by : Anatoliy Malyarenko

Download or read book Invariant Random Fields on Spaces with a Group Action written by Anatoliy Malyarenko and published by Springer Science & Business Media. This book was released on 2012-10-26 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author describes the current state of the art in the theory of invariant random fields. This theory is based on several different areas of mathematics, including probability theory, differential geometry, harmonic analysis, and special functions. The present volume unifies many results scattered throughout the mathematical, physical, and engineering literature, as well as it introduces new results from this area first proved by the author. The book also presents many practical applications, in particular in such highly interesting areas as approximation theory, cosmology and earthquake engineering. It is intended for researchers and specialists working in the fields of stochastic processes, statistics, functional analysis, astronomy, and engineering.

Using the Mathematics Literature

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Publisher : CRC Press
ISBN 13 : 9780824750350
Total Pages : 412 pages
Book Rating : 4.7/5 (53 download)

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Book Synopsis Using the Mathematics Literature by : Kristine K. Fowler

Download or read book Using the Mathematics Literature written by Kristine K. Fowler and published by CRC Press. This book was released on 2004-05-25 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.

Random Fields and Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 0387481168
Total Pages : 455 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Random Fields and Geometry by : R. J. Adler

Download or read book Random Fields and Geometry written by R. J. Adler and published by Springer Science & Business Media. This book was released on 2009-01-29 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to a completely new approach to geometric problems arising in the study of random fields. The groundbreaking material in Part III, for which the background is carefully prepared in Parts I and II, is of both theoretical and practical importance, and striking in the way in which problems arising in geometry and probability are beautifully intertwined. "Random Fields and Geometry" will be useful for probabilists and statisticians, and for theoretical and applied mathematicians who wish to learn about new relationships between geometry and probability. It will be helpful for graduate students in a classroom setting, or for self-study. Finally, this text will serve as a basic reference for all those interested in the companion volume of the applications of the theory.

Advances and Challenges in Space-time Modelling of Natural Events

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Publisher : Springer Science & Business Media
ISBN 13 : 3642170862
Total Pages : 263 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Advances and Challenges in Space-time Modelling of Natural Events by : Emilio Porcu

Download or read book Advances and Challenges in Space-time Modelling of Natural Events written by Emilio Porcu and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book arises as the natural continuation of the International Spring School "Advances and Challenges in Space-Time modelling of Natural Events," which took place in Toledo (Spain) in March 2010. This Spring School above all focused on young researchers (Master students, PhD students and post-doctoral researchers) in academics, extra-university research and the industry who are interested in learning about recent developments, new methods and applications in spatial statistics and related areas, and in exchanging ideas and findings with colleagues.

Commutative and Noncommutative Harmonic Analysis and Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821894935
Total Pages : 218 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Commutative and Noncommutative Harmonic Analysis and Applications by : Azita Mayeli

Download or read book Commutative and Noncommutative Harmonic Analysis and Applications written by Azita Mayeli and published by American Mathematical Soc.. This book was released on 2013-11-08 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations, held September 22-23, 2012, at the Rochester Institute of Technology, Rochester, NY, USA. The book features new directions, results and ideas in commutative and noncommutative abstract harmonic analysis, operator theory and applications. The commutative part includes shift invariant spaces, abelian group action on Euclidean space and frame theory; the noncommutative part includes representation theory, continuous and discrete wavelets related to four dimensional Euclidean space, frames on symmetric spaces, $C DEGREES*$-algebras, projective multiresolutions, and free probability algebras. The scope of the book goes beyond traditional harmonic analysis, dealing with Fourier tools, transforms, Fourier bases, and associated function spaces. A number of papers take the step toward wavelet analysis, and even more general tools for analysis/synthesis problems, including papers on frames (over-complete bases) and their practical applications to engineering, cosmology and astrophysics.Other applications in this book include explicit families of wavelets and frames, as they are used in signal processing, multiplexing, and the study of Cosmic Microwave Background (CMB) radiation. For the purpose of organisation, the book is divided into three parts: noncommutative, commutative, and applications. The first group of papers are devoted to problems in noncommutative harmonic analysis, the second to topics in commutative harmonic analysis, and the third to such applications as wavelet and frame theory and to some real-world applications.

Limit theorems for random fields

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (476 download)

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Book Synopsis Limit theorems for random fields by : Nguyen Van Thu

Download or read book Limit theorems for random fields written by Nguyen Van Thu and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Long-Range Dependence and Self-Similarity

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Publisher : Cambridge University Press
ISBN 13 : 1107039460
Total Pages : 693 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Long-Range Dependence and Self-Similarity by : Vladas Pipiras

Download or read book Long-Range Dependence and Self-Similarity written by Vladas Pipiras and published by Cambridge University Press. This book was released on 2017-04-18 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern and rigorous introduction to long-range dependence and self-similarity, complemented by numerous more specialized up-to-date topics in this research area.

Mathematical Communications

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Publisher :
ISBN 13 :
Total Pages : 496 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Communications by :

Download or read book Mathematical Communications written by and published by . This book was released on 2001 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Central Limit Theorems for Stationary Random Fields

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Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Functional Central Limit Theorems for Stationary Random Fields by : Jérôme Dedecker

Download or read book Functional Central Limit Theorems for Stationary Random Fields written by Jérôme Dedecker and published by . This book was released on 1998 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Random Fields on the Sphere

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Publisher : Cambridge University Press
ISBN 13 : 1139499823
Total Pages : 354 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Random Fields on the Sphere by : Domenico Marinucci

Download or read book Random Fields on the Sphere written by Domenico Marinucci and published by Cambridge University Press. This book was released on 2011-08-25 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present a comprehensive analysis of isotropic spherical random fields, with a view towards applications in cosmology. Any mathematician or statistician interested in these applications, especially the booming area of cosmic microwave background (CMB) radiation data analysis, will find the mathematical foundation they need in this book.

Limit Theorems and Some Applications in Statistical Physics

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Publisher : Springer
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Limit Theorems and Some Applications in Statistical Physics by : Boris Nahapetian

Download or read book Limit Theorems and Some Applications in Statistical Physics written by Boris Nahapetian and published by Springer. This book was released on 1991-08 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods of Statistics

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Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Methods of Statistics by :

Download or read book Mathematical Methods of Statistics written by and published by . This book was released on 2004 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: