Article ID Journal Published Year Pages File Type
1147156 Journal of Multivariate Analysis 2009 9 Pages PDF
Abstract

Nonlinear principal components are defined for normal random vectors. Their properties are investigated and interpreted in terms of the classical linear principal component analysis. A characterization theorem is proven. All these results are employed to give a unitary interpretation to several different issues concerning the Chernoff–Poincaré type inequalities and their applications to the characterization of normal distributions.

Related Topics
Physical Sciences and Engineering Mathematics Numerical Analysis
Authors
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