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arXiv · 2007.02751

Non-Gaussian component analysis: testing the dimension of the signal subspace

Una Radojicic·Klaus Nordhausen
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Abstract

Dimension reduction is a common strategy in multivariate data analysis which seeks a subspace which contains all interesting features needed for the subsequent analysis. Non-Gaussian component analysis attempts for this purpose to divide the data into a non-Gaussian part, the signal, and a Gaussian part, the noise. We will show that the simultaneous use of two scatter functionals can be used for this purpose and suggest a bootstrap test to test the dimension of the non-Gaussian subspace. Sequential application of the test can then for example be used to estimate the signal dimension.

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Una Radojicic, Klaus Nordhausen. 2020-07-06. Non-Gaussian component analysis: testing the dimension of the signal subspace. https://doi.org/10.1007/978-3-030-48814-7_6

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