On Properties of Random Binary Contingency Tables with Non-Uniform Margin

Da Wu

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arXiv · 2002.12559

On Properties of Random Binary Contingency Tables with Non-Uniform Margin

Da Wu

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Abstract

We study the random binary contingency tables with non-uniform margin. More precisely, for parameters $n,\delta,B,C$, we consider $X=(X_{ij})$ with $X_{ij}\in \lbrace 0,1\rbrace$, the random binary contingency tables whose first $[n^\delta]$ rows and columns have margin $[BCn]$ and the rest columns and rows have margin $[Cn]$. We study various asymptotic properties of $X$ as $n\to \infty$. This answers a question posted by Barvinok.

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Da Wu. 2020-02-28. On Properties of Random Binary Contingency Tables with Non-Uniform Margin. https://arxiv.org/abs/2002.12559

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