Functional Data Analysis

Name: Functional Data Analysis
Availability: InStock
ISBN: 9780387400808

ISBN-10: 038740080X

ISBN-13: 9780387400808

Edition: 2nd 2005 (Revised)

Authors: J. O. Ramsay, B. W. Silverman

List price: $249.99

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Description:

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. Data arising in real applications are used throughout for both motivation and illustration, showing how functional approaches allow us to see new things, especially by exploiting the smoothness of the processes generating the data. The data sets exemplify the wide scope…

Book details

List price: $249.99
Edition: 2nd
Copyright year: 2005
Publisher: Springer New York
Publication date: 6/8/2005
Binding: Hardcover
Pages: 429
Size: 6.10" wide x 9.25" long x 1.00" tall
Weight: 1.980
Language: English



Introduction


Notation and Techniques


Representing Functional Data as Smooth Functions


The Roughness Penalty Approach


The Registration and Display of Functional Data


Principal Components Analysis for Functional Data


Regularized Principal Components Analysis


Principal Components Analysis of Mixed Data


Functional Linear Models


Functional Linear Models for Scalar Responses


Functional Linear Modesl for Functional Responses


Canonical Correlation and Discriminant Analysis


Differential Operators in Functional Data Analysis


Principal Differential Analysis


More General Roughness Penalties


Some Perspectives on FDA