Functional Data Analysis

1 Introduction
2 Tools for exploring functional data
3 From functional data to smooth functions
4 Smoothing functional data by least squares
5 Smoothing functional data with a roughness penalty
6 Constrained functions
7 The registration and display of functional data
8 Principal components analysis for functional data
9 Regularized principal components analysis
10 Principal components analysis of mixed data
11 Canonical correlation and discriminant analysis
12 Functional linear models
13 Modelling functional responses with multivariate covariates
14 Functional responses, functional covariates and the concurrent
model
15 Functional linear models for scalar responses
16 Functional linear models for functional responses
17 Derivatives and functional linear models
18 Differential equations and operators
19 Principal differential analysis
20 Green’s functions and reproducing kernels
21 More general roughness penalties
22 Some perspectives on FDA