Asymptotic Properties of Random Contingency Tables with Uniform Margin

Da Wu ()
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Da Wu: University of Pennsylvania

Journal of Theoretical Probability, 2023, vol. 36, issue 4, 2066-2092

Abstract: Abstract Let $$C\ge 2$$ C ≥ 2 be a positive integer. Consider the set of $$n\times n$$ n × n non-negative integer matrices whose row sums and column sums are all equal to Cn and let $$X=(X_{ij})_{1\le i,j\le n}$$ X = ( X ij ) 1 ≤ i , j ≤ n be uniformly distributed on this set. This X is called the random contingency table with uniform margin. In this paper, we study various asymptotic properties of $$X=(X_{ij})_{1\le i,j\le n}$$ X = ( X ij ) 1 ≤ i , j ≤ n as $$n\rightarrow \infty $$ n → ∞ .

Keywords: Random contingency tables; Maximum entropy principle; Concentration inequality; Asymptotic statistics; 60F05; 60C05 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10959-022-01234-5

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