Counting the number of p\(\times q\) integer matrices more concordant than a given matrix

DOI10.1016/S0166-218X(85)80008-1zbMath0569.15008MaRDI QIDQ1061192

Truc T. Nguyen, Allan R. Sampson

Publication date: 1985

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonnegative matricescountingFréchet boundslattice structurefixed marginalsmore concordant partial ordering

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Positive matrices and their generalizations; cones of matrices (15B48) Matrices of integers (15B36)

Related Items (1)

The geometry of certain fixed marginal probability distributions

Cites Work

• The enumeration of arrays and a generalization related to contingency tables
• Inequalities for distributions with given marginals
• Arrays with fixed row and column sums
• Counting the Number of r × c Contingency Tables with Fixed Margins
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