Reproducing Kernel Hilbert Spaces in Probability and Statistics

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Publisher : Springer Science & Business Media
ISBN 13 : 1441990968
Total Pages : 369 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Reproducing Kernel Hilbert Spaces in Probability and Statistics by : Alain Berlinet

Download or read book Reproducing Kernel Hilbert Spaces in Probability and Statistics written by Alain Berlinet and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers theoretical questions including the latest extension of the formalism, and computational issues and focuses on some of the more fruitful and promising applications, including statistical signal processing, nonparametric curve estimation, random measures, limit theorems, learning theory and some applications at the fringe between Statistics and Approximation Theory. It is geared to graduate students in Statistics, Mathematics or Engineering, or to scientists with an equivalent level.

Theory of Reproducing Kernels and Applications

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Publisher : Springer
ISBN 13 : 9811005303
Total Pages : 464 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Theory of Reproducing Kernels and Applications by : Saburou Saitoh

Download or read book Theory of Reproducing Kernels and Applications written by Saburou Saitoh and published by Springer. This book was released on 2016-10-14 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications.In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations among reproducing kernel Hilbert spaces are dealt with. Chapter 2 is the heart of this book.Chapter 3 is devoted to the Tikhonov regularization using the theory of reproducing kernels with applications to numerical and practical solutions of bounded linear operator equations.In Chapter 4, the numerical real inversion formulas of the Laplace transform are presented by applying the Tikhonov regularization, where the reproducing kernels play a key role in the results.Chapter 5 deals with ordinary differential equations; Chapter 6 includes many concrete results for various fundamental partial differential equations. In Chapter 7, typical integral equations are presented with discretization methods. These chapters are applications of the general theories of Chapter 3 with the purpose of practical and numerical constructions of the solutions.In Chapter 8, hot topics on reproducing kernels are presented; namely, norm inequalities, convolution inequalities, inversion of an arbitrary matrix, representations of inverse mappings, identifications of nonlinear systems, sampling theory, statistical learning theory and membership problems. Relationships among eigen-functions, initial value problems for linear partial differential equations, and reproducing kernels are also presented. Further, new fundamental results on generalized reproducing kernels, generalized delta functions, generalized reproducing kernel Hilbert spaces, andas well, a general integral transform theory are introduced.In three Appendices, the deep theory of Akira Yamada discussing the equality problems in nonlinear norm inequalities, Yamada's unified and generalized inequalities for Opial's inequalities and the concrete and explicit integral representation of the implicit functions are presented.

Probability and Information Theory

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Publisher : Springer
ISBN 13 : 3540360980
Total Pages : 265 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Probability and Information Theory by : M. Behara

Download or read book Probability and Information Theory written by M. Behara and published by Springer. This book was released on 2006-11-14 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Inference and Learning from Data

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Publisher : Cambridge University Press
ISBN 13 : 100921828X
Total Pages : 1081 pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis Inference and Learning from Data by : Ali H. Sayed

Download or read book Inference and Learning from Data written by Ali H. Sayed and published by Cambridge University Press. This book was released on 2022-11-30 with total page 1081 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover data-driven learning methods with the third volume of this extraordinary three-volume set.

Stochastic Processes - Inference Theory

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Publisher : Springer
ISBN 13 : 3319121723
Total Pages : 685 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Stochastic Processes - Inference Theory by : Malempati M. Rao

Download or read book Stochastic Processes - Inference Theory written by Malempati M. Rao and published by Springer. This book was released on 2014-11-14 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the revised and enlarged 2nd edition of the authors’ original text, which was intended to be a modest complement to Grenander's fundamental memoir on stochastic processes and related inference theory. The present volume gives a substantial account of regression analysis, both for stochastic processes and measures, and includes recent material on Ridge regression with some unexpected applications, for example in econometrics. The first three chapters can be used for a quarter or semester graduate course on inference on stochastic processes. The remaining chapters provide more advanced material on stochastic analysis suitable for graduate seminars and discussions, leading to dissertation or research work. In general, the book will be of interest to researchers in probability theory, mathematical statistics and electrical and information theory.

Stochastic Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 1475765967
Total Pages : 656 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Stochastic Processes by : Malempati M. Rao

Download or read book Stochastic Processes written by Malempati M. Rao and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material accumulated and presented in this volume can be ex plained easily. At the start of my graduate studies in the early 1950s, I Grenander's (1950) thesis, and was much attracted to the came across entire subject considered there. I then began preparing for the neces sary mathematics to appreciate and possibly make some contributions to the area. Thus after a decade of learning and some publications on the way, I wanted to write a modest monograph complementing Grenander's fundamental memoir. So I took a sabbatical leave from my teaching position at the Carnegie-Mellon University, encouraged by an Air Force Grant for the purpose, and followed by a couple of years more learning opportunity at the Institute for Advanced Study to complete the project. As I progressed, the plan grew larger needing a substantial background material which was made into an independent initial volume in (1979). In its preface I said: "My intension was to present the following material as the first part of a book treating the In ference Theory of stochastic processes, but the latter account has now receded to a distant future," namely for two more decades! Meanwhile, a much enlarged second edition of that early work has appeared (1995), and now I am able to present the main part of the original plan.

Statistical Theory of Signal Detection

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Publisher : Elsevier
ISBN 13 : 1483156850
Total Pages : 485 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Statistical Theory of Signal Detection by : Carl W. Helstrom

Download or read book Statistical Theory of Signal Detection written by Carl W. Helstrom and published by Elsevier. This book was released on 2013-10-22 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Theory of Signal Detection, Second Edition provides an elementary introduction to the theory of statistical testing of hypotheses that is related to the detection of signals in radar and communications technology. This book presents a comprehensive survey of digital communication systems. Organized into 11 chapters, this edition begins with an overview of the theory of signal detection and the typical detection problem. This text then examines the goals of the detection system, which are defined through an analogy with the testing of statistical hypotheses. Other chapters consider the noise fluctuations in terms of probability distributions whereby the statistical information is used to design a receiver that attains the maximum rate of successful detections in a long series of trials. This book discusses as well the criteria of success and failure in statistical situations. The final chapter deals with the types of stochastic signals. This book is a valuable resource for mathematicians and engineers.

Publications of Goddard Space Flight Center

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Publisher :
ISBN 13 :
Total Pages : 1682 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Publications of Goddard Space Flight Center by : Goddard Space Flight Center

Download or read book Publications of Goddard Space Flight Center written by Goddard Space Flight Center and published by . This book was released on with total page 1682 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Reproducing Kernel Hilbert Spaces

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Publisher :
ISBN 13 :
Total Pages : 680 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Reproducing Kernel Hilbert Spaces by : Howard L. Weinert

Download or read book Reproducing Kernel Hilbert Spaces written by Howard L. Weinert and published by . This book was released on 1982 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:

SIAM Journal on Control

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Publisher :
ISBN 13 :
Total Pages : 398 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis SIAM Journal on Control by :

Download or read book SIAM Journal on Control written by and published by . This book was released on 1963 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Annals of Mathematical Statistics

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Publisher :
ISBN 13 :
Total Pages : 1008 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Annals of Mathematical Statistics by :

Download or read book The Annals of Mathematical Statistics written by and published by . This book was released on 1964 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Time Series Analysis Papers

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Publisher :
ISBN 13 :
Total Pages : 588 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Time Series Analysis Papers by : Emanuel Parzen

Download or read book Time Series Analysis Papers written by Emanuel Parzen and published by . This book was released on 1967 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: On consistent estimates of the spectral density of a stationary time series; Analysis of a general system for the detection of amplitude-modulated noise; A central limit theorem for multilinear stochastic processes; Conditions that a stochastic process ber egodic; On consistent estimates of the spectrum of a stationary time series; On choosing an estimate of the spectral density function of a stationary time series; On asymptotically efficient consistent estimates of the spectral density function of a stationary time series; General considerations in the analysis of spectra; Mathematical considerations in the estimation of spectra; Spectral analysis of asymptotically stationary time series; On spectral analysis with missing observations and amplitude modulation; Notes on fourier analysis and spectral windows; Statistical inference on time series by Hilbert space methods; An approach to time series analysis; Regression analysis of continuous parameter time series; A new approach to the synthesis of optimal smoothing and prediction systems; Probability density functionals and reproducing kernel hilbert spaces; Extraction and detection problems and reproducing kernel hilbert spaces; On estimation of a probability density function and mode; On models for the probability of fatigue failure of a structure; An approach to empirical time series analysis.

Preprints of Technical Papers

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Publisher :
ISBN 13 :
Total Pages : 708 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Preprints of Technical Papers by :

Download or read book Preprints of Technical Papers written by and published by . This book was released on 1963 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt:

MRC Technical Summary Report

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Publisher :
ISBN 13 :
Total Pages : 534 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis MRC Technical Summary Report by : University of Wisconsin--Madison. Mathematics Research Center

Download or read book MRC Technical Summary Report written by University of Wisconsin--Madison. Mathematics Research Center and published by . This book was released on 1980 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:

MRC Technical Summary Report

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Publisher :
ISBN 13 :
Total Pages : 518 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis MRC Technical Summary Report by : United States. Army. Mathematics Research Center

Download or read book MRC Technical Summary Report written by United States. Army. Mathematics Research Center and published by . This book was released on 1980 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings

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Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Proceedings by : Brown University Symposium on Time Series Analysis

Download or read book Proceedings written by Brown University Symposium on Time Series Analysis and published by . This book was released on 1963 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1970 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: