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- W2048060065 abstract "Let M be the set of all p × q matrices with nonnegative entries and fixed marginals. A matrix in M is an extreme if it cannot be expressed as a convex combination of two distinct matrices in M. Several procedures in categorical data analysis depend on the enumeration of all extremes with given marginals. The problem can be formulated as finding all vertices of a convex polytope for which an efficient algorithm has been developed recently. Because of its general applicability, however, this algorithm does not take advantage of the special combinatorial features inherent in our problem. Here we present an efficient algorithm that does use these features. These extremes have important applications in categorical data analysis in statistics and in the study of probability measures on product spaces with given marginals in mathematics." @default.
- W2048060065 created "2016-06-24" @default.
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- W2048060065 date "2002-12-01" @default.
- W2048060065 modified "2023-09-23" @default.
- W2048060065 title "Constructing All Extremes of Contingency Tables With Given Marginals" @default.
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- W2048060065 doi "https://doi.org/10.1198/106186002709" @default.
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