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arXiv · 1402.6769

Bounded size biased couplings, log concave distributions and concentration of measure for occupancy models

Jay Bartroff·Larry Goldstein·Ümit Işlak
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Abstract

Threshold-type counts based on multivariate occupancy models with log concave marginals admit bounded size biased couplings under weak conditions, leading to new concentration of measure results for random graphs, germ-grain models in stochastic geometry, multinomial allocation models and multivariate hypergeometric sampling. The work generalizes and improves upon previous results in a number of directions.

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Jay Bartroff, Larry Goldstein, Ümit Işlak. 2014-02-27. Bounded size biased couplings, log concave distributions and concentration of measure for occupancy models. https://arxiv.org/abs/1402.6769

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