Astrophysical use of the principal component analysis of imperfect data

Statistics – Computation

Scientific paper

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Computational Astrophysics, Principal Components Analysis, Star Distribution, Chaos, Infrared Astronomy Satellite, Probability Distribution Functions

Scientific paper

In natural historical studies, no uniform accuracy of observational data can generally be expected for different quantities and for different samples. Principal component analysis is generalized in such a way that maximum information can be drawn from any given set of imperfect data. The principle of the generalization is to supplement data to the given set of data so that the combined system does attain the maximum probability distribution. The utility of the method in a few astrophysical and other applications are discussed briefly.

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