Statistical Phenomena in Astronomy

Statistics

Scientific paper

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Statistics, Extended Sources, Point Sources

Scientific paper

Observing and storing the photons of the incoming radiation from the Cosmos typically gives a data cube defined by (α, δ, λ). It is easy to translate this data structure into the formalism of multivariate statistics. A common problem in the multivariate statistics whether the stochastic variables described by observed properties are statistically independent or can be described by a less number of hidden variables. This is the task of factor analysis. Forming groups from cases having similar properties according to the measures of similarities or the distances is the task of cluster analysis. I demonstrated in several particular cases how these technics can be used for studying structures in the (α, δ, λ) data cube and how to translate the statistical results into true physical quantities.

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