Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Skitovich-Darmois theorem for finite Abelian groups   Let X be a finite Abelian group, xi_i, i=1,2,...,n,n>1, be independent random
variables with values in X and distributions mu_i. Let
alpha_{ij},i,j=1,2,...,n, be automorphisms of X. We prove that the independence
of n linear forms L_j=alpha_{1j}xi_1+alpha_{2j}xi_2+...+alpha_{nj}xi_n implies
that all mu_i are shifts of the Haar distributions on some subgroups of the
group X. This theorem is an analogue of the Skitovich-Darmois theorem for
finite Abelian groups.

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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: eess