An asymptotic formula for the number of non-negative integer matrices with prescribed row and column sums

Details An asymptotic formula for the number of non-negative integer matrices with prescribed row and column sums An asymptotic formula for the number of non-negative integer matrices with prescribed row and column sums

2009-10-13

arxiv.org/abs/0910.2477v2

Mathematics

Combinatorics

57 pages, results strengthened, proofs simplified somewhat

Scientific paper

We count mxn non-negative integer matrices (contingency tables) with
prescribed row and column sums (margins). For a wide class of smooth margins we
establish a computationally efficient asymptotic formula approximating the
number of matrices within a relative error which approaches 0 as m and n grow.

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