Download or read book xi Radial Processes and Random Fourier Series written by Michael B. Marcus and published by American Mathematical Soc.. This book was released on 1987 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: A -radial process is a stochastic process whose finite joint distributions are defined in terms of a symmetric real valued infinitely divisible random variable . This monograph is a study of the sample path continuity of a certain class of stationary stochastic processes.
Download or read book X Overbarred E radial Processes and Random Fourier Series written by Michael B. Marcus and published by . This book was released on 1987 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book X radial Processes and Random Fourier Series written by Michael B. Marcus and published by . This book was released on 1987 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Radial Processes and Random Fourier Series written by Michael B. Marcus and published by . This book was released on 1987 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Upper and Lower Bounds for Stochastic Processes written by Michel Talagrand and published by Springer Science & Business Media. This book was released on 2014-02-12 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book develops modern methods and in particular the "generic chaining" to bound stochastic processes. This methods allows in particular to get optimal bounds for Gaussian and Bernoulli processes. Applications are given to stable processes, infinitely divisible processes, matching theorems, the convergence of random Fourier series, of orthogonal series, and to functional analysis. The complete solution of a number of classical problems is given in complete detail, and an ambitious program for future research is laid out.
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Probability in Banach Spaces written by Michel Ledoux and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.
Download or read book Random Fourier Series with Applications to Harmonic Analysis AM 101 Volume 101 written by Michael B. Marcus and published by Princeton University Press. This book was released on 2016-03-02 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors give the first necessary and sufficient conditions for the uniform convergence a.s. of random Fourier series on locally compact Abelian groups and on compact non-Abelian groups. They also obtain many related results. For example, whenever a random Fourier series converges uniformly a.s. it also satisfies the central limit theorem. The methods developed are used to study some questions in harmonic analysis that are not intrinsically random. For example, a new characterization of Sidon sets is derived. The major results depend heavily on the Dudley-Fernique necessary and sufficient condition for the continuity of stationary Gaussian processes and on recent work on sums of independent Banach space valued random variables. It is noteworthy that the proofs for the Abelian case immediately extend to the non-Abelian case once the proper definition of random Fourier series is made. In doing this the authors obtain new results on sums of independent random matrices with elements in a Banach space. The final chapter of the book suggests several directions for further research.
Download or read book High Dimensional Probability II written by Evarist Giné and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: High dimensional probability, in the sense that encompasses the topics rep resented in this volume, began about thirty years ago with research in two related areas: limit theorems for sums of independent Banach space valued random vectors and general Gaussian processes. An important feature in these past research studies has been the fact that they highlighted the es sential probabilistic nature of the problems considered. In part, this was because, by working on a general Banach space, one had to discard the extra, and often extraneous, structure imposed by random variables taking values in a Euclidean space, or by processes being indexed by sets in R or Rd. Doing this led to striking advances, particularly in Gaussian process theory. It also led to the creation or introduction of powerful new tools, such as randomization, decoupling, moment and exponential inequalities, chaining, isoperimetry and concentration of measure, which apply to areas well beyond those for which they were created. The general theory of em pirical processes, with its vast applications in statistics, the study of local times of Markov processes, certain problems in harmonic analysis, and the general theory of stochastic processes are just several of the broad areas in which Gaussian process techniques and techniques from probability in Banach spaces have made a substantial impact. Parallel to this work on probability in Banach spaces, classical proba bility and empirical process theory were enriched by the development of powerful results in strong approximations.
Download or read book Kernel based Approximation Methods Using Matlab written by Gregory E Fasshauer and published by World Scientific Publishing Company. This book was released on 2015-07-30 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an attempt to introduce application scientists and graduate students to the exciting topic of positive definite kernels and radial basis functions, this book presents modern theoretical results on kernel-based approximation methods and demonstrates their implementation in various settings. The authors explore the historical context of this fascinating topic and explain recent advances as strategies to address long-standing problems. Examples are drawn from fields as diverse as function approximation, spatial statistics, boundary value problems, machine learning, surrogate modeling and finance. Researchers from those and other fields can recreate the results within using the documented MATLAB code, also available through the online library. This combination of a strong theoretical foundation and accessible experimentation empowers readers to use positive definite kernels on their own problems of interest.
Download or read book Probability Theory with Applications written by Malempati M. Rao and published by Springer Science & Business Media. This book was released on 2006-06-03 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a revised and expanded edition of a successful graduate and reference text. The book is designed for a standard graduate course on probability theory, including some important applications. The new edition offers a detailed treatment of the core area of probability, and both structural and limit results are presented in detail. Compared to the first edition, the material and presentation are better highlighted; each chapter is improved and updated.
Download or read book Statistics of Medical Imaging written by Tianhu Lei and published by CRC Press. This book was released on 2011-12-19 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: More work is being done in the statistical aspects of medical imaging, and this book fills the gap to provide a unified framework of study by presenting a complete look at medical imaging and statistics - from the statistical aspects of imaging technology to the statistical analysis of images. It provides technicians and students with the statistical principles that underlay medical imaging, as required reference material for researchers involved in the design of new technology. Illustrations are included throughout as are many real examples, and algorithms. The text also includes exercises developed out of the author's many years experience with studying the statistics of medical imaging.
Download or read book Functionals of Infinitely Divisible Stochastic Processes with Exponential Tails written by Michael Braverman and published by . This book was released on 1993 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multidimensional Systems Signal Processing Algorithms and Application Techniques written by and published by Elsevier. This book was released on 1996-07-17 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Series "This book will be a useful reference to control engineers and researchers. The papers contained cover well the recent advances in the field of modern control theory." --IEEE Group Correspondence "This book will help all those researchers who valiantly try to keep abreast of what is new in the theory and practice of optimal control." --Control
Download or read book Groundwater Contaminant Transport written by F.B.J. Barends and published by Routledge. This book was released on 2017-07-12 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Impacts of developed tools of heterogenous characterization on the hydrodynamics of flow and the transport mechanisms are illustrated in this text through a series of extensive numerical simulations consisting of single and multiple-realizations (Monte Carlo method).
Download or read book Automated Technology for Verification and Analysis written by Étienne André and published by Springer Nature. This book was released on 2023-10-18 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 21st International Symposium on Automated Technology for Verification and Analysis, ATVA 2023, held in Singapore, in October 2023. The symposium intends to promote research in theoretical and practical aspects of automated analysis, verification and synthesis by providing a forum for interaction between regional and international research communities and industry in related areas. The 30 regular papers presented together with 7 tool papers were carefully reviewed and selected from 150 submissions.The papers are divided into the following topical sub-headings: Temporal logics, Data structures and heuristics, Verification of programs and hardware.
Download or read book Advances in Data Methods Models and Their Applications in Geoscience written by DongMei Chen and published by BoD – Books on Demand. This book was released on 2011-12-22 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: With growing attention on global environmental and climate change, geoscience has experienced rapid change and development in the last three decades. Many new data, methods and modeling techniques have been developed and applied in various aspects of geoscience. The chapters collected in this book present an excellent profile of the current state of various data, analysis methods and modeling techniques, and demonstrate their applications from hydrology, geology and paleogeomorphology, to geophysics, environmental and climate change. The wide range methods and techniques covered in the book include information systems and technology, global position system (GPS), digital sediment core image analysis, fuzzy set theory for hydrology, spatial interpolation, spectral analysis of geophysical data, GIS-based hydrological models, high resolution geological models, 3D sedimentology, change detection from remote sensing, etc. Besides two comprehensive review articles, most chapters focus on in-depth studies of a particular method or technique.
