Functional Data Analysis

This is the second edition of a highly successful first edition. It contains a considerable amount of new material. Much of the work is original to the authors. Bernard Silverman has been very successful in writing books at a level and a style that appeals to theoretical and applied audiences.

Scientists today collect samples of curves and other functional observations. This monograph presents many ideas and techniques for such data. Included are expressions in the functional domain of such classics as linear regression, principal components analysis, linear modelling, and canonical correlation analysis, as well as specifically functional techniques such as curve registration and principal differential analysis.

The book presents novel statistical technology while keeping the mathematical level widely accessible. It is designed to appeal to students, to applied data analysts, and to experienced researchers; it will have value both within statistics and across a broad spectrum of other fields.

The second edition of a highly successful first edition Contains a considerable amount of new material

Zusammenfassung
Included are expressions in the functional domain of such classics as linear regression, principal components analysis, linear modeling, and canonical correlation analysis, as well as specifically functional techniques such as curve registration and principal differential analysis.

Inhalt
Tools for exploring functional data.- From functional data to smooth functions.- Smoothing functional data by least squares.- Smoothing functional data with a roughness penalty.- Constrained functions.- The registration and display of functional data.- Principal components analysis for functional data.- Regularized principal components analysis.- Principal components analysis of mixed data.- Canonical correlation and discriminant analysis.- Functional linear models.- Modelling functional responses with multivariate covariates.- Functional responses, functional covariates and the concurrent model.- Functional linear models for scalar responses.- Functional linear models for functional responses.- Derivatives and functional linear models.- Differential equations and operators.- Fitting differential equations to functional data: Principal differential analysis.- Green's functions and reproducing kernels.- More general roughness penalties.- Some perspectives on FDA.