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Functional Data Analysis

Scientists and others today often 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 modeling, and...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ramsay, James (Autor), Silverman, B. W. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2005.
Edición:2nd ed. 2005.
Colección:Springer Series in Statistics,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.