The Oxford Handbook of Functional Data Analysis

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Format: Hardcover
Pub. Date: 2011-01-25
Publisher(s): Oxford University Press
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Summary

New technologies allow us to handle increasingly large datasets, while monitoring devices become ever more sophisticated. This high-tech revolution affords progressively more accurate observations, by producing statistical units sampled over a finer and finer gird. As the measurement points become closer, the data can be considered as observations varying over a continuum. Such continuous (or functional) data can be found in a wide variety of areas, including biomechanics, econometrics, geophysics, chemometrics, and medicine.

Author Biography


Frederic Ferraty is a researcher in Statistics at Toulouse University (France). He has been working on all facets of Statistics, ranging from fundamental theory basis, methodology developments to practical implementation. In addition, most of major topics of Statistics as Classification, Exploratory Methods, Regression, Time Series have been investigated. In the last decade, he mainly oriented his research towards high dimensional statistical problems involving systematically functional data. His numerous statistical contributions have been published in prestigious international statistical journals. He is also a prominent and very active member of the international statistical community through co-organizations of several international scientific events and numerous editorial works for publishers and statistical journals of high scientific level.

Yves Romain is an academic researcher at Institute of Mathematics of Toulouse (France). He is Doctor in Applied Mathematics and HDR in Statistics. His main research domains are multivariate analyses in large dimension and related fields such as operator-based statistics and backgrounds for statistics in infinite-dimensional spaces.

Table of Contents

List of Contributorsp. xiii
List of Figuresp. xv
List of Datasetsp. xvii
Regression Modeling For FDA
A unifying classification for functional regression modelingp. 3
Functional linear regressionp. 21
Linear processes for functional datep. 47
Kernel regression estimation for functional datap. 72
Nonparametric methods for ¿-mixing functional random variablesp. 130
Functional coefficient models for economic and financial datap. 166
Benchmark Methods For FDA
Resampling methods for functional datap. 189
Principal component analysis for functional data: methodology, theory, and discussionp. 210
Curve registrationp. 235
Classification methods for functional datap. 259
Sparseness and functional data analysisp. 298
Towards a Stochastic Background in Infinite-Dimensional Spaces
Vector integration and stochastic integration in Banach spacesp. 327
Operator geometry in statisticsp. 355
On Bernstein type and maximal inequalities for dependent Banach-valued random vectors and applicationsp. 383
On product measures associated with stationary processesp. 423
An invitation to operator-based statisticsp. 452
Indexp. 483
Table of Contents provided by Ingram. All Rights Reserved.

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