Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix compatibility and correlation mixture representation of
  generalized Gini's gamma   Representations of measures of concordance in terms of Pearson' s correlation
coefficient are studied. All transforms of random variables are characterized
such that the correlation coefficient of the transformed random variables is a
measure of concordance. Next, Gini' s gamma is generalized and it is shown that
the resulting generalized Gini' s gamma can be represented as a mixture of
measures of concordance that are Pearson' s correlation coefficients of
transformed random variables. As an application of this correlation mixture
representation of generalized Gini' s gamma, lower and upper bounds of the
compatible set of generalized Gini' s gamma, which is the collection of all
possible square matrices whose entries are pairwise bivariate generalized Gini'
s gammas, are derived.

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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th