Contingency tables with uniformly bounded entries

Details Contingency tables with uniformly bounded entries Contingency tables with uniformly bounded entries

2011-02-14

arxiv.org/abs/1102.2883v1

Mathematics

Combinatorics

25 pages

Scientific paper

We consider nonnegative integer matrices with specified row and column sums and upper bounds on the entries. We show that the logarithm of the number of such matrices is approximated by a concave function of the row and column sums. We give efficiently computable estimators for this function, including one suggested by a maximum-entropy random model; we show that these estimators are asymptotically exact as the dimension of the matrices goes to infinity. We finish by showing that, for kappa >= 2 and for sufficiently small row and column sums, the number of matrices with these row and column sums and with entries <= kappa is greater by an exponential factor than predicted by a heuristic of independence.

Affiliated with

Also associated with

No associations

Rating

Contingency tables with uniformly bounded entries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Contingency tables with uniformly bounded entries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Contingency tables with uniformly bounded entries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-377479