Springer Series in Statistics
Advisors:
P. Bickel, P. Diggle, S. Fienberg, U. Gather,
I. Olkin, S. Zeger

Book:  Inference for Functional  Data with Applications
Content:
1 Functional data structures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
2 Hilbert space model for functional data . . . . . . . . . . . . . . . . . . . . . . . . . . 21
3 Functional principal components . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
5 Two sample inference for the mean and covariance functions . . . . . . . 65
6 Detection of changes in the mean function. . . . . . . . . . . . . . . . . . . . . . . . 79
7 Portmanteau test of independence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105
Part II The functional linear model
8 Functional linear models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127
9 Test for lack of effect in the functional linear model . . . . . . . . . . . . . . . 147
10 Two sample inference for regression kernels . . . . . . . . . . . . . . . . . . . . . . 169
11 Tests for error correlation in the functional linear model . . . . . . . . . . . 191
12 A test of significance in functional quadratic regression . . . . . . . . . . . . 225
Part III Dependent functional data
13 Functional autoregressive model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235
14 Change point detection in the functional autoregressive process . . . . 253
15 Determining the order of the functional autoregressive model . . . . . . 277
16 Functional time series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 289
17 Spatially distributed functional data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 343
18 Consistency of the simple mean and the empirical functiona  
principal components for spatially distributed curves . . . . . . . . . . . . . 375
18.1 Motivating examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 376