Essential Wavelets For Statistical Applications And Data Analysis

Essential Wavelets For Statistical Applications And Data Analysis Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Essential Wavelets For Statistical Applications And Data Analysis book. This book definitely worth reading, it is an incredibly well-written.

Essential Wavelets for Statistical Applications and Data Analysis

Todd Ogden
Essential Wavelets for Statistical Applications and Data Analysis Book PDF

Author : Todd Ogden
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461207092

Get Book

Essential Wavelets for Statistical Applications and Data Analysis by Todd Ogden Pdf

I once heard the book by Meyer (1993) described as a "vulgarization" of wavelets. While this is true in one sense of the word, that of making a sub ject popular (Meyer's book is one of the early works written with the non specialist in mind), the implication seems to be that such an attempt some how cheapens or coarsens the subject. I have to disagree that popularity goes hand-in-hand with debasement. is certainly a beautiful theory underlying wavelet analysis, there is While there plenty of beauty left over for the applications of wavelet methods. This book is also written for the non-specialist, and therefore its main thrust is toward wavelet applications. Enough theory is given to help the reader gain a basic understanding of how wavelets work in practice, but much of the theory can be presented using only a basic level of mathematics. Only one theorem is for mally stated in this book, with only one proof. And these are only included to introduce some key concepts in a natural way.

Wavelets, Approximation, and Statistical Applications

Wolfgang Härdle,Gerard Kerkyacharian,Dominique Picard,Alexander Tsybakov
Wavelets Approximation and Statistical Applications Book PDF

Author : Wolfgang Härdle,Gerard Kerkyacharian,Dominique Picard,Alexander Tsybakov
Publisher : Springer Science & Business Media
Page : 276 pages
File Size : 55,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461222224

Get Book

Wavelets, Approximation, and Statistical Applications by Wolfgang Härdle,Gerard Kerkyacharian,Dominique Picard,Alexander Tsybakov Pdf

The mathematical theory of ondelettes (wavelets) was developed by Yves Meyer and many collaborators about 10 years ago. It was designed for ap proximation of possibly irregular functions and surfaces and was successfully applied in data compression, turbulence analysis, image and signal process ing. Five years ago wavelet theory progressively appeared to be a power ful framework for nonparametric statistical problems. Efficient computa tional implementations are beginning to surface in this second lustrum of the nineties. This book brings together these three main streams of wavelet theory. It presents the theory, discusses approximations and gives a variety of statistical applications. It is the aim of this text to introduce the novice in this field into the various aspects of wavelets. Wavelets require a highly interactive computing interface. We present therefore all applications with software code from an interactive statistical computing environment. Readers interested in theory and construction of wavelets will find here in a condensed form results that are somewhat scattered around in the research literature. A practioner will be able to use wavelets via the available software code. We hope therefore to address both theory and practice with this book and thus help to construct bridges between the different groups of scientists. This te. xt grew out of a French-German cooperation (Seminaire Paris Berlin, Seminar Berlin-Paris). This seminar brings together theoretical and applied statisticians from Berlin and Paris. This work originates in the first of these seminars organized in Garchy, Burgundy in 1994.

Statistical Modeling by Wavelets

Brani Vidakovic
Statistical Modeling by Wavelets Book PDF

Author : Brani Vidakovic
Publisher : John Wiley & Sons
Page : 410 pages
File Size : 45,5 Mb
Release : 2009-09-25
Category : Mathematics
ISBN : 9780470317860

Get Book

Statistical Modeling by Wavelets by Brani Vidakovic Pdf

A comprehensive, step-by-step introduction to wavelets in statistics. What are wavelets? What makes them increasingly indispensable in statistical nonparametrics? Why are they suitable for "time-scale" applications? How are they used to solve such problems as denoising, regression, or density estimation? Where can one find up-to-date information on these newly "discovered" mathematical objects? These are some of the questions Brani Vidakovic answers in Statistical Modeling by Wavelets. Providing a much-needed introduction to the latest tools afforded statisticians by wavelet theory, Vidakovic compiles, organizes, and explains in depth research data previously available only in disparate journal articles. He carefully balances both statistical and mathematical techniques, supplementing the material with a wealth of examples, more than 100 illustrations, and extensive references-with data sets and S-Plus wavelet overviews made available for downloading over the Internet. Both introductory and data-oriented modeling topics are featured, including: * Continuous and discrete wavelet transformations. * Statistical optimality properties of wavelet shrinkage. * Theoretical aspects of wavelet density estimation. * Bayesian modeling in the wavelet domain. * Properties of wavelet-based random functions and densities. * Several novel and important wavelet applications in statistics. * Wavelet methods in time series. Accessible to anyone with a background in advanced calculus and algebra, Statistical Modeling by Wavelets promises to become the standard reference for statisticians and engineers seeking a comprehensive introduction to an emerging field.

Wavelet Analysis And Its Applications (In 2 Vols), Proceedings Of The Third International Conference On Waa

Li Jian Ping,Tang Yuan Yan,Wickerhauser Victor
Wavelet Analysis And Its Applications In 2 Vols Proceedings Of The Third International Conference On Waa Book PDF

Author : Li Jian Ping,Tang Yuan Yan,Wickerhauser Victor
Publisher : World Scientific
Page : 1056 pages
File Size : 47,7 Mb
Release : 2003-04-11
Category : Computers
ISBN : 9789814486200

Get Book

Wavelet Analysis And Its Applications (In 2 Vols), Proceedings Of The Third International Conference On Waa by Li Jian Ping,Tang Yuan Yan,Wickerhauser Victor Pdf

This book captures the essence of the current state of research in wavelet analysis and its applications, and identifies the changes and opportunities - both current and future - in the field. Distinguished researchers such as Prof John Daugman from Cambridge University and Prof Victor Wickerhauser from Washington University present their research papers.

Wavelet Methods in Statistics with R

Guy Nason
Wavelet Methods in Statistics with R Book PDF

Author : Guy Nason
Publisher : Springer Science & Business Media
Page : 259 pages
File Size : 52,9 Mb
Release : 2010-07-25
Category : Mathematics
ISBN : 9780387759616

Get Book

Wavelet Methods in Statistics with R by Guy Nason Pdf

This book contains information on how to tackle many important problems using a multiscale statistical approach. It focuses on how to use multiscale methods and discusses methodological and applied considerations.

Noise Reduction by Wavelet Thresholding

Maarten Jansen
Noise Reduction by Wavelet Thresholding Book PDF

Author : Maarten Jansen
Publisher : Springer Science & Business Media
Page : 196 pages
File Size : 54,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461301455

Get Book

Noise Reduction by Wavelet Thresholding by Maarten Jansen Pdf

Wavelet methods have become a widely spread tool in signal and image process ing tasks. This book deals with statistical applications, especially wavelet based smoothing. The methods described in this text are examples of non-linear and non parametric curve fitting. The book aims to contribute to the field both among statis ticians and in the application oriented world (including but not limited to signals and images). Although it also contains extensive analyses of some existing methods, it has no intention whatsoever to be a complete overview of the field: the text would show too much bias towards my own algorithms. I rather present new material and own insights in the questions involved with wavelet based noise reduction. On the other hand, the presented material does cover a whole range of methodologies, and in that sense, the book may serve as an introduction into the domain of wavelet smoothing. Throughout the text, three main properties show up ever again: sparsity, locality and multiresolution. Nearly all wavelet based methods exploit at least one of these properties in some or the other way. These notes present research results of the Belgian Programme on Interuniver sity Poles of Attraction, initiated by the Belgian State, Prime Minister's Office for Science, Technology and Culture. The scientific responsibility rests with me. My research was financed by a grant (1995 - 1999) from the Flemish Institute for the Promotion of Scientific and Technological Research in the Industry (IWT).

Wavelet Methods for Time Series Analysis

Donald B. Percival,Andrew T. Walden
Wavelet Methods for Time Series Analysis Book PDF

Author : Donald B. Percival,Andrew T. Walden
Publisher : Cambridge University Press
Page : 628 pages
File Size : 44,9 Mb
Release : 2006-02-27
Category : Mathematics
ISBN : 9781107717398

Get Book

Wavelet Methods for Time Series Analysis by Donald B. Percival,Andrew T. Walden Pdf

This introduction to wavelet analysis 'from the ground level and up', and to wavelet-based statistical analysis of time series focuses on practical discrete time techniques, with detailed descriptions of the theory and algorithms needed to understand and implement the discrete wavelet transforms. Numerous examples illustrate the techniques on actual time series. The many embedded exercises - with complete solutions provided in the Appendix - allow readers to use the book for self-guided study. Additional exercises can be used in a classroom setting. A Web site offers access to the time series and wavelets used in the book, as well as information on accessing software in S-Plus and other languages. Students and researchers wishing to use wavelet methods to analyze time series will find this book essential.

Nonparametric Statistics with Applications to Science and Engineering with R

Paul Kvam,Brani Vidakovic,Seong-joon Kim
Nonparametric Statistics with Applications to Science and Engineering with R Book PDF

Author : Paul Kvam,Brani Vidakovic,Seong-joon Kim
Publisher : John Wiley & Sons
Page : 452 pages
File Size : 46,9 Mb
Release : 2022-10-18
Category : Mathematics
ISBN : 9781119268130

Get Book

Nonparametric Statistics with Applications to Science and Engineering with R by Paul Kvam,Brani Vidakovic,Seong-joon Kim Pdf

NONPARAMETRIC STATISTICS WITH APPLICATIONS TO SCIENCE AND ENGINEERING WITH R Introduction to the methods and techniques of traditional and modern nonparametric statistics, incorporating R code Nonparametric Statistics with Applications to Science and Engineering with R presents modern nonparametric statistics from a practical point of view, with the newly revised edition including custom R functions implementing nonparametric methods to explain how to compute them and make them more comprehensible. Relevant built-in functions and packages on CRAN are also provided with a sample code. R codes in the new edition not only enable readers to perform nonparametric analysis easily, but also to visualize and explore data using R’s powerful graphic systems, such as ggplot2 package and R base graphic system. The new edition includes useful tables at the end of each chapter that help the reader find data sets, files, functions, and packages that are used and relevant to the respective chapter. New examples and exercises that enable readers to gain a deeper insight into nonparametric statistics and increase their comprehension are also included. Some of the sample topics discussed in Nonparametric Statistics with Applications to Science and Engineering with R include: Basics of probability, statistics, Bayesian statistics, order statistics, Kolmogorov–Smirnov test statistics, rank tests, and designed experiments Categorical data, estimating distribution functions, density estimation, least squares regression, curve fitting techniques, wavelets, and bootstrap sampling EM algorithms, statistical learning, nonparametric Bayes, WinBUGS, properties of ranks, and Spearman coefficient of rank correlation Chi-square and goodness-of-fit, contingency tables, Fisher exact test, MC Nemar test, Cochran’s test, Mantel–Haenszel test, and Empirical Likelihood Nonparametric Statistics with Applications to Science and Engineering with R is a highly valuable resource for graduate students in engineering and the physical and mathematical sciences, as well as researchers who need a more comprehensive, but succinct understanding of modern nonparametric statistical methods.

Wavelets from a Statistical Perspective

Maarten Jansen
Wavelets from a Statistical Perspective Book PDF

Author : Maarten Jansen
Publisher : CRC Press
Page : 474 pages
File Size : 40,6 Mb
Release : 2022-04-18
Category : Business & Economics
ISBN : 9781000564174

Get Book

Wavelets from a Statistical Perspective by Maarten Jansen Pdf

Wavelets from a Statistical Perspective offers a modern, 2nd generation look on wavelets, far beyond the rigid setting of the equispaced, dyadic wavelets in the early days. With the methods of this book, based on the lifting scheme, researchers can set up a wavelet or another multiresolution analysis adapted to their data, ranging from images to scattered data or other irregularly spaced observations. Whereas classical wavelets stand a bit apart from other nonparametric methods, this book adds a multiscale touch to your spline, kernel or local polynomial smoothing procedure, thereby extending its applicability to nonlinear, nonparametric processing for piecewise smooth data. One of the chapters of the book constructs B-spline wavelets on nonequispaced knots and multiscale local polynomial transforms. In another chapter, the link between wavelets and Fourier analysis, ubiquitous in the classical approach, is explained, but without being inevitable. In further chapters the discrete wavelet transform is contrasted with the continuous version, the nondecimated (or maximal overlap) transform taking an intermediate position. An important principle in designing a wavelet analysis through the lifting scheme is finding the right balance between bias and variance. Bias and variance also play a crucial role in the nonparametric smoothing in a wavelet framework, in finding well working thresholds or other smoothing parameters. The numerous illustrations can be reproduced with the online available, accompanying software. The software and the exercises can also be used as a starting point in the further exploration of the material.

An Introduction to Wavelets and Other Filtering Methods in Finance and Economics

Ramazan Gençay,Faruk Selçuk,Brandon J. Whitcher
An Introduction to Wavelets and Other Filtering Methods in Finance and Economics Book PDF

Author : Ramazan Gençay,Faruk Selçuk,Brandon J. Whitcher
Publisher : Elsevier
Page : 359 pages
File Size : 53,6 Mb
Release : 2001-10-12
Category : Education
ISBN : 9780080509228

Get Book

An Introduction to Wavelets and Other Filtering Methods in Finance and Economics by Ramazan Gençay,Faruk Selçuk,Brandon J. Whitcher Pdf

An Introduction to Wavelets and Other Filtering Methods in Finance and Economics presents a unified view of filtering techniques with a special focus on wavelet analysis in finance and economics. It emphasizes the methods and explanations of the theory that underlies them. It also concentrates on exactly what wavelet analysis (and filtering methods in general) can reveal about a time series. It offers testing issues which can be performed with wavelets in conjunction with the multi-resolution analysis. The descriptive focus of the book avoids proofs and provides easy access to a wide spectrum of parametric and nonparametric filtering methods. Examples and empirical applications will show readers the capabilities, advantages, and disadvantages of each method. The first book to present a unified view of filtering techniques Concentrates on exactly what wavelets analysis and filtering methods in general can reveal about a time series Provides easy access to a wide spectrum of parametric and non-parametric filtering methods

Wavelets and Statistics

Anestis Antoniadis,Georges Oppenheim
Wavelets and Statistics Book PDF

Author : Anestis Antoniadis,Georges Oppenheim
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461225447

Get Book

Wavelets and Statistics by Anestis Antoniadis,Georges Oppenheim Pdf

Despite its short history, wavelet theory has found applications in a remarkable diversity of disciplines: mathematics, physics, numerical analysis, signal processing, probability theory and statistics. The abundance of intriguing and useful features enjoyed by wavelet and wavelet packed transforms has led to their application to a wide range of statistical and signal processing problems. On November 16-18, 1994, a conference on Wavelets and Statistics was held at Villard de Lans, France, organized by the Institute IMAG-LMC, Grenoble, France. The meeting was the 15th in the series of the Rencontres Pranco-Belges des 8tatisticiens and was attended by 74 mathematicians from 12 different countries. Following tradition, both theoretical statistical results and practical contributions of this active field of statistical research were presented. The editors and the local organizers hope that this volume reflects the broad spectrum of the conference. as it includes 21 articles contributed by specialists in various areas in this field. The material compiled is fairly wide in scope and ranges from the development of new tools for non parametric curve estimation to applied problems, such as detection of transients in signal processing and image segmentation. The articles are arranged in alphabetical order by author rather than subject matter. However, to help the reader, a subjective classification of the articles is provided at the end of the book. Several articles of this volume are directly or indirectly concerned with several as pects of wavelet-based function estimation and signal denoising.

Discrete Wavelet Transforms

Dr. Awad Al-Asmari
Discrete Wavelet Transforms Book PDF

Author : Dr. Awad Al-Asmari
Publisher : BoD – Books on Demand
Page : 235 pages
File Size : 41,9 Mb
Release : 2013-02-06
Category : Computers
ISBN : 9789535109402

Get Book

Discrete Wavelet Transforms by Dr. Awad Al-Asmari Pdf

Discrete Wavelet Transform is a wavelet (DWT) transform that is widely used in numerical and functional analysis. Its key advantage over more traditional transforms, such as the Fourier transform, lies in its ability to offer temporal resolution, i.e. it captures both frequency and location (or time) information. This book presents a succinct compendium of some of the more recent variants of DWTs and their use to come up with solutions to an array of problems transcending the traditional application areas of image/video processing and security to the relatively newer areas of medicine, artificial intelligence, power systems and telecommunications. The first of the two sections of this book contains three chapters devoted to traditional applications of DWTs in digital image compression, copyright protection and video resolution enhancement. The second section, comprising of five chapters, is devoted to variants of the DWT and their applications in humanoid-robot vision systems; modeling and simulation recognition of physiological and behavioral traits through human gait and facial images; assessment of agitation and sedation in intensive care patients; maximization of power control systems; and, finally, in demodulation of FM data in free-space optical control systems.

Multiscale Signal Analysis and Modeling

Xiaoping Shen,Ahmed I. Zayed
Multiscale Signal Analysis and Modeling Book PDF

Author : Xiaoping Shen,Ahmed I. Zayed
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 51,7 Mb
Release : 2012-09-18
Category : Technology & Engineering
ISBN : 9781461441441

Get Book

Multiscale Signal Analysis and Modeling by Xiaoping Shen,Ahmed I. Zayed Pdf

Multiscale Signal Analysis and Modeling presents recent advances in multiscale analysis and modeling using wavelets and other systems. This book also presents applications in digital signal processing using sampling theory and techniques from various function spaces, filter design, feature extraction and classification, signal and image representation/transmission, coding, nonparametric statistical signal processing, and statistical learning theory.

The Illustrated Wavelet Transform Handbook

Paul S Addison
The Illustrated Wavelet Transform Handbook Book PDF

Author : Paul S Addison
Publisher : CRC Press
Page : 384 pages
File Size : 47,8 Mb
Release : 2002-07-15
Category : Science
ISBN : 1420033395

Get Book

The Illustrated Wavelet Transform Handbook by Paul S Addison Pdf

The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance provides an overview of the theory and practical applications of wavelet transform methods. The author uses several hundred illustrations, some in color, to convey mathematical concepts and the results of applications. The first chapter presents a brief overview of the wavelet transform, including a short history. The remainder of the book is split into two parts: the first part discusses the mathematics of both discrete and continuous wavelet transforms while the second part deals with applications in a variety of subject areas, such as geophysics, medicine, fluid turbulence, engineering testing, speech and sound analysis, image analysis, and data compression. These application chapters make the reader aware of the similarities that exist in the use of wavelet transform analysis across disciplines. A comprehensive list of more than 700 references provides a valuable resource for further study. The book is designed specifically for the applied reader in science, engineering, medicine, finance, or any other of the growing number of application areas. Newcomers to the subject will find an accessible and clear account of the theory of continuous and discrete wavelet transforms, providing a large number of examples of their use across a wide range of disciplines. Readers already acquainted with wavelets can use the book to broaden their perspective.

Wavelet and Wave Analysis as Applied to Materials with Micro Or Nanostructure

Carlo Cattani,I?A?rema I?A?roslavovich Rushchit?s?ki?
Wavelet and Wave Analysis as Applied to Materials with Micro Or Nanostructure Book PDF

Author : Carlo Cattani,I?A?rema I?A?roslavovich Rushchit?s?ki?
Publisher : World Scientific
Page : 473 pages
File Size : 53,9 Mb
Release : 2007
Category : Science
ISBN : 9789812707840

Get Book

Wavelet and Wave Analysis as Applied to Materials with Micro Or Nanostructure by Carlo Cattani,I?A?rema I?A?roslavovich Rushchit?s?ki? Pdf

This seminal book unites three different areas of modern science: the micromechanics and nanomechanics of composite materials; wavelet analysis as applied to physical problems; and the propagation of a new type of solitary wave in composite materials, nonlinear waves. Each of the three areas is described in a simple and understandable form, focusing on the many perspectives of the links among the three.All of the techniques and procedures are described here in the clearest and most open form, enabling the reader to quickly learn and use them when faced with the new and more advanced problems that are proposed in this book. By combining these new scientific concepts into a unitary model and enlightening readers on this pioneering field of research, readers will hopefully be inspired to explore the more advanced aspects of this promising scientific direction. The application of wavelet analysis to nanomaterials and waves in nanocomposites can be very appealing to both specialists working on theoretical developments in wavelets as well as specialists applying these methods and experiments in the mechanics of materials.