
The Oxford Handbook of Functional Data Analysis
by Ferraty, Frederic; Romain, Yves-
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Summary
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 Contributors | p. xiii |
List of Figures | p. xv |
List of Datasets | p. xvii |
Regression Modeling For FDA | |
A unifying classification for functional regression modeling | p. 3 |
Functional linear regression | p. 21 |
Linear processes for functional date | p. 47 |
Kernel regression estimation for functional data | p. 72 |
Nonparametric methods for ¿-mixing functional random variables | p. 130 |
Functional coefficient models for economic and financial data | p. 166 |
Benchmark Methods For FDA | |
Resampling methods for functional data | p. 189 |
Principal component analysis for functional data: methodology, theory, and discussion | p. 210 |
Curve registration | p. 235 |
Classification methods for functional data | p. 259 |
Sparseness and functional data analysis | p. 298 |
Towards a Stochastic Background in Infinite-Dimensional Spaces | |
Vector integration and stochastic integration in Banach spaces | p. 327 |
Operator geometry in statistics | p. 355 |
On Bernstein type and maximal inequalities for dependent Banach-valued random vectors and applications | p. 383 |
On product measures associated with stationary processes | p. 423 |
An invitation to operator-based statistics | p. 452 |
Index | p. 483 |
Table of Contents provided by Ingram. All Rights Reserved. |
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