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Component and Correspondence Analysis: Dimension Reduction by Functional Approximation (Wiley series in probability & mathematical statistics - applied section) - Tapa dura

Rijckevorsed, Jan L.A.Van; Leeuw, Jan De

 
9780471918479: Component and Correspondence Analysis: Dimension Reduction by Functional Approximation (Wiley series in probability & mathematical statistics - applied section)

Sinopsis

This work generalizes the techniques of component and correspondence analysis using fuzzy coding, functional approximation (including spline approximation) and the choice of inner product spaces and metrics. This leads to new ways of analyzing discrete and continuous data.

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Reseña del editor

Contributions to this work begin from a homogeneous-analytic point of view, then go further to analyze continuous variables, extending the geometrical approach of Gifi, and applying functional analytic techniques to problems involving replicated time series data (which are not subject to classical correspondence analysis and principal component analysis). Closing chapters address probability coding (which is related to fuzzy coding), and two approaches to component analysis: optimal scaling (which uses montone splines) embedded in a more classical statistical framework; and the connection between explorative multivariate data analysis and confirmation analysis based on statistical modelling.

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