Probability matrices, non-negative rank, and parameterizations of mixture models

Details Probability matrices, non-negative rank, and parameterizations of mixture models Probability matrices, non-negative rank, and parameterizations of mixture models

2009-11-02

arxiv.org/abs/0911.0412v2

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In this paper we parameterize non-negative matrices of sum one and rank at
most two. More precisely, we give a family of parameterizations using the least
possible number of parameters. We also show how these parameterizations relate
to a class of statistical models, known in Probability and Statistics as
mixture models for contingency tables.

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