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Functional principal components (FPC's) provide the most important and most extensively used tool for dimension reduction and inference for functional data.
The existence of probability measures with given marginals
V. Strassen · 1965
Earlier work this paper cites.
Continuity properties of Gaussian processes with multidimensional time parameter
A. M. Garsia · 1970
Earlier work this paper cites.
The invariance principle for Banach space valued random variables
J. Kuelbs · 1973
Earlier work this paper cites.
Central limit theorems in
M. G. Hahn · 1978
Earlier work this paper cites.
Geometry and martingales in Banach spaces. II. independent increments
W. Woyczynski · 1978
Earlier work this paper cites.
Marcinkiewicz–Zygmund weak laws of large numbers for unconditional random elements in banach spaces
J. O. Howell and R. L. Taylor · 1980
Earlier work this paper cites.
Strong Approximations in Probability and Statistics
M. Csörgő and P. Révész · 1981
Earlier work this paper cites.
Strong invariance principles for partial sums of independent random vectors
U. Einmahl · 1987
Earlier work this paper cites.
Linear Operators, Parts I and II
N. Dunford and J. T. Schwartz · 1988
Earlier work this paper cites.
Extension of results of Komlós, Major and Tusnady to the multivariate case
U. Einmahl · 1989
Earlier work this paper cites.
Classes of Linear Operators , volume 49 of
I. Gohberg, S. Golberg, and M. A. Kaashoek · 1990
Earlier work this paper cites.
Limit Theorems of Probability Theory: Sequences of Independent Random Varianles
V. V. Petrov · 1995
Cited alongside, same era.
Limit Theorems in Change-Point Analysis
M. Csörgő and L. Horváth · 1997
Cited alongside, same era.
Normal Approximation: New Results, Methods and Problems
V. V. Senatov · 1998
Cited alongside, same era.
Testing hypothesis in the functional linear model
H. Cardot, F. Ferraty, A. Mas, and P. Sarda · 2003
Cited alongside, same era.
Functional Data Analysis
J. O. Ramsay and B. W. Silverman · 2005
Cited alongside, same era.
Assessing the finite dimensionality of functional data
P. Hall and C. Vial · 2006
Cited alongside, same era.
Functional Data Analysis with R and MATLAB
J. Ramsay, G. Hooker, and S. Graves · 2009
Later among the works it cites.
Identifying the finite dimensionality of curve time series
N. Bathia, Q. Yao, and F. Ziegelmann · 2010
Later among the works it cites.
Second-order comparison of Gaussian random functions and the geometry of DNA minicircles
V. M. Panaretos, D. Kraus, and J. H. Maddocks · 2010
Later among the works it cites.
Parametric Statistical Change Point Analysis: With Applications to Genetics, Medicine, and Finance
J. Chen and A. K. Gupta · 2011
Later among the works it cites.
Estimation of the distribution of change–points with application to fMRI data
J. A. D. Aston and C. Kirch · 2012
Later among the works it cites.
Sequential Analysis: Hypothesis Testing and Change–Point Detection
M. Basseville, I. V. Nikifirov, and A. Tartakovsky · 2012
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