Nonparametric Functional Data Analysis: Theory and Practice (Springer Series in Statistics)

By Frédéric Ferraty, Philippe Vieu. 2006

1,013 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/01dda63d97b5bbed410a250b2a08ac6d6ec29eac

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Citations in the corpus

Operator-valued Kernels for Learning from Functional Response Data (2015, methodology): “Therefore, we adopt a functional data analysis viewpoint (Zhao et al., 2004; Ramsay and Silverman, 2005; Ferraty and Vieu, 2006) in which multiple curves are viewed as functional realizations of a single function.”
The permutation testing approach: a review (2010, background): “In problem 7, as far as can be drawn from the literature (e.g. Bosq, 2005; Ferraty and Vieu, 2006; Ramsey and Silverman, 1997, 2002), only some nonparametric regression estimates and predictive problems are solved when data are curves; instead, within the NPC strategy, several testing problems with…”
Finite-sample consistency of combination-based permutation tests with application to repeated measures designs (2010, background): “…and genomics (Salmaso and Solari 2005, 2006), analysis of brain images (Hossein-Zadeh, Soltanian-Zadeh and Ardekani 2003; Friman and Westin 2005), shape analysis (Bookstein 1991; Dryden and Mardia 1998), functional data analysis (Ramsay and Silverman 1997; Bosq 1998; Ferraty and Vieu 2006).”
Variable selection in functional data classification: a maxima-hunting proposal (2013, methodology): “ (2014). Phoneme. These are data of speech recognition, discussed in Hastie et al. (1995). They can be downloaded from www-stat.stanford.edu/ElemStatLearn and are analysed in Hastie et al. (2005) and Ferraty and Vieu (2006). The original sample has 4509 curves, corresponding to log-periodograms cons”
Convolutional autoregressive models for functional time series (2016, unknown): “Books by Ramsay and Silverman (2005), Ferraty and Vieu (2006), and Horváth and Kokoszka (2012) provide comprehensive introductions on various aspects of functional data analysis.”
A Goodness-of-Fit Test for the Functional Linear Model with Scalar Response (2012, methodology): “The Tecator dataset is a well-known dataset in the literature of functional data analysis (see, e.g., Ferraty and Vieu 2006).”
An updated review of Goodness-of-Fit tests for regression models (2013, methodology): “Following some of the ideas of Ferraty and Vieu (2006), considering pseudometrics for measuring distances between functional data, the test proposed by Härdle and Mammen (1993) was adapted by Delsol et al. (2011a, 2011b) for the scalar response model Y = m(Z) + ε (Z being a functional covariate),…”
Properties of design-based functional principal components analysis (2008, background): “The books by Ramsay and Silverman (2002, 2005) propose an interesting description of the available procedures dealing with functional observations whereas Ferraty and Vieu (2006) present a completely nonparametric point of view.”
A Confidence Corridor for Sparse Longitudinal Data Curves (2011, background): “A well known application is growth curve analysis in biology, medicine and chemistry, see e.g. Müller (2009), James, Hastie and Sugar (2000), Ferraty and Vieu (2006) and the references there.”
Linguistic pitch analysis using functional principal component mixed effect models (2010, background): “The analysis of contours and curves is now well established in the statistics literature; for many examples see Ramsay and Silverman (2002, 2005) and Ferraty and Vieu (2006).”
Identifying the finite dimensionality of curve time series (2010, methodology): “The available inference methods focus mostly on nonparametric estimation for some characteristics of functional series [Part IV of Ferraty and Vieu (2006)].”
Long-Range Dependent Curve Time Series (2020, background): “…for functional time series, the bulk of it assuming stationarity over the temporal dimension, indeed short-range dependence (see, e.g., Bosq 2000; Ferraty and Vieu 2006; Bathia, Yao, and Ziegelmann 2010; Hörmann and Kokoszka 2010; Horváth and Kokoszka 2012; Horváth, Kokoszka, and Rice 2014;…”
Selected statistical methods of data analysis for multivariate functional data (2018, unknown): “Such data are known in the literature as functional data (Bongiorno et al. 2014; Ferraty and Vieu 2006; Horváth and Kokoszka 2012; Ramsay and Silverman 2005).”
Functional linear regression with functional response (2017, methodology): “This model is discussed in the monographs by Ramsay and Silverman (2005), Ferraty and Vieu (2006), and Horvath and Kokoszka (2012).”