Inference for Functional Data with Applications

Chapter 1 Functional data structures

Chapter 2 Hilbert space model for functional data

Chapter 3 Functional principal components

Chapter 5 Two sample inference for the mean and covariance functions

Chapter 6 Detection of changes in the mean function

Chapter 7 Portmanteau test of independence

Chapter 8 Functional linear models

Chapter 9 Test for lack of effect in the functional linear model

Chapter 10 Two sample inference for regression kernels

Chapter 11 Tests for error correlation in the functional linear model

Chapter 12 A test of significance in functional quadratic regression

Chapter 13 Functional autoregressive model

Chapter 14 Change point detection in the functional autoregressive process

Chapter 15 Determining the order of the functional autoregressive model

Chapter 16 Functional time series

Chapter 17 Spatially distributed functional data

Chapter 18 Consistency of the simple mean and the empirical functional principal components for spatially distributed curves