The Oxford Handbook of Functional Data Analysis PDF Download
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Author: Frédéric Ferraty
Publisher: OUP Oxford
ISBN: 0199568448
Category : Mathematics
Languages : en
Pages : 512
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Book Description
This Handbook aims to present a state of the art exploration of the high-tech field of functional data analysis, by gathering together most of major advances in this area.
Author: Frédéric Ferraty
Publisher: OUP Oxford
ISBN: 0199568448
Category : Mathematics
Languages : en
Pages : 512
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Book Description
This Handbook aims to present a state of the art exploration of the high-tech field of functional data analysis, by gathering together most of major advances in this area.
Author: Russell A. Poldrack
Publisher: Cambridge University Press
ISBN: 9780521517669
Category : Medical
Languages : en
Pages : 238
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Book Description
Functional magnetic resonance imaging (fMRI) has become the most popular method for imaging brain function. Handbook for Functional MRI Data Analysis provides a comprehensive and practical introduction to the methods used for fMRI data analysis. Using minimal jargon, this book explains the concepts behind processing fMRI data, focusing on the techniques that are most commonly used in the field. This book provides background about the methods employed by common data analysis packages including FSL, SPM, and AFNI. Some of the newest cutting-edge techniques, including pattern classification analysis, connectivity modeling, and resting state network analysis, are also discussed. Readers of this book, whether newcomers to the field or experienced researchers, will obtain a deep and effective knowledge of how to employ fMRI analysis to ask scientific questions and become more sophisticated users of fMRI analysis software.
Author: Piotr Kokoszka
Publisher: CRC Press
ISBN: 1498746691
Category : Mathematics
Languages : en
Pages : 371
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Book Description
Introduction to Functional Data Analysis provides a concise textbook introduction to the field. It explains how to analyze functional data, both at exploratory and inferential levels. It also provides a systematic and accessible exposition of the methodology and the required mathematical framework. The book can be used as textbook for a semester-long course on FDA for advanced undergraduate or MS statistics majors, as well as for MS and PhD students in other disciplines, including applied mathematics, environmental science, public health, medical research, geophysical sciences and economics. It can also be used for self-study and as a reference for researchers in those fields who wish to acquire solid understanding of FDA methodology and practical guidance for its implementation. Each chapter contains plentiful examples of relevant R code and theoretical and data analytic problems. The material of the book can be roughly divided into four parts of approximately equal length: 1) basic concepts and techniques of FDA, 2) functional regression models, 3) sparse and dependent functional data, and 4) introduction to the Hilbert space framework of FDA. The book assumes advanced undergraduate background in calculus, linear algebra, distributional probability theory, foundations of statistical inference, and some familiarity with R programming. Other required statistics background is provided in scalar settings before the related functional concepts are developed. Most chapters end with references to more advanced research for those who wish to gain a more in-depth understanding of a specific topic.
Author: Frédéric Ferraty
Publisher: Springer Science & Business Media
ISBN: 3790827363
Category : Mathematics
Languages : en
Pages : 322
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Book Description
New technologies allow us to handle increasingly large datasets, while monitoring devices are becoming ever more sophisticated. This high-tech progress produces statistical units sampled over finer and finer grids. As the measurement points become closer, the data can be considered as observations varying over a continuum. This intrinsic continuous data (called functional data) can be found in various fields of science, including biomechanics, chemometrics, econometrics, environmetrics, geophysics, medicine, etc. The failure of standard multivariate statistics to analyze such functional data has led the statistical community to develop appropriate statistical methodologies, called Functional Data Analysis (FDA). Today, FDA is certainly one of the most motivating and popular statistical topics due to its impact on crucial societal issues (health, environment, etc). This is why the FDA statistical community is rapidly growing, as are the statistical developments . Therefore, it is necessary to organize regular meetings in order to provide a state-of-art review of the recent advances in this fascinating area. This book collects selected and extended papers presented at the second International Workshop of Functional and Operatorial Statistics (Santander, Spain, 16-18 June, 2011), in which many outstanding experts on FDA will present the most relevant advances in this pioneering statistical area. Undoubtedly, these proceedings will be an essential resource for academic researchers, master students, engineers, and practitioners not only in statistics but also in numerous related fields of application.
Author: Edward Gunning
Publisher: Springer Nature
ISBN: 3031688627
Category :
Languages : en
Pages : 96
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Book Description
Author: James Ramsay
Publisher: Springer Science & Business Media
ISBN: 147577107X
Category : Mathematics
Languages : en
Pages : 317
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Book Description
Included here are expressions in the functional domain of such classics as linear regression, principal components analysis, linear modelling, and canonical correlation analysis, as well as specifically functional techniques such as curve registration and principal differential analysis. Data arising in real applications are used throughout for both motivation and illustration, showing how functional approaches allow us to see new things, especially by exploiting the smoothness of the processes generating the data. The data sets exemplify the wide scope of functional data analysis; they are drawn from growth analysis, meteorology, biomechanics, equine science, economics, and medicine. The book presents novel statistical technology while keeping the mathematical level widely accessible. It is designed to appeal to students, applied data analysts, and to experienced researchers; and as such is of value both within statistics and across a broad spectrum of other fields. Much of the material appears here for the first time.
Author: Jin-Ting Zhang
Publisher: CRC Press
ISBN: 1439862745
Category : Mathematics
Languages : en
Pages : 406
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Book Description
Despite research interest in functional data analysis in the last three decades, few books are available on the subject. Filling this gap, Analysis of Variance for Functional Data presents up-to-date hypothesis testing methods for functional data analysis. The book covers the reconstruction of functional observations, functional ANOVA, functional l
Author: Pedro A. Morettin
Publisher: Springer
ISBN: 3319596233
Category : Mathematics
Languages : en
Pages : 112
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Book Description
Wavelet-based procedures are key in many areas of statistics, applied mathematics, engineering, and science. This book presents wavelets in functional data analysis, offering a glimpse of problems in which they can be applied, including tumor analysis, functional magnetic resonance and meteorological data. Starting with the Haar wavelet, the authors explore myriad families of wavelets and how they can be used. High-dimensional data visualization (using Andrews' plots), wavelet shrinkage (a simple, yet powerful, procedure for nonparametric models) and a selection of estimation and testing techniques (including a discussion on Stein’s Paradox) make this a highly valuable resource for graduate students and experienced researchers alike.
Author: Bernd Heine
Publisher:
ISBN: 0199677077
Category : Language Arts & Disciplines
Languages : en
Pages : 1217
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Book Description
This handbook compares the main analytic frameworks and methods of contemporary linguistics. It offers a unique overview of linguistic theory, revealing the common concerns of competing approaches. By showing their current and potential applications it provides the means by which linguists and others can judge what are the most useful models for the task in hand. Distinguished scholars from all over the world explain the rationale and aims of over thirty explanatory approaches to the description, analysis, and understanding of language. Each chapter considers the main goals of the model; the relation it proposes from between lexicon, syntax, semantics, pragmatics, and phonology; the way it defines the interactions between cognition and grammar; what it counts as evidence; and how it explains linguistic change and structure. The Oxford Handbook of Linguistic Analysis offers an indispensable guide for everyone researching any aspect of language including those in linguistics, comparative philology, cognitive science, developmental philology, cognitive science, developmental psychology, computational science, and artificial intelligence. This second edition has been updated to include seven new chapters looking at linguistic units in language acquisition, conversation analysis, neurolinguistics, experimental phonetics, phonological analysis, experimental semantics, and distributional typology.
Author: Elias Ould Saïd
Publisher: Springer
ISBN: 331922476X
Category : Mathematics
Languages : en
Pages : 171
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Book Description
This volume, which highlights recent advances in statistical methodology and applications, is divided into two main parts. The first part presents theoretical results on estimation techniques in functional statistics, while the second examines three key areas of application: estimation problems in queuing theory, an application in signal processing, and the copula approach to epidemiologic modelling. The book’s peer-reviewed contributions are based on papers originally presented at the Marrakesh International Conference on Probability and Statistics held in December 2013.
