Bounded size biased couplings, log concave distributions and   concentration of measure for occupancy models
  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. 
Jay Bartroff, Larry Goldstein and \"Umit I\c{s}lak
math.PR math.ST stat.TH