Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1153170 | Statistics & Probability Letters | 2013 | 8 Pages |
Abstract
We give bounds on the Poincaré (inverse spectral gap) constant of a non-negative, integer-valued random variable WW, under negative dependence assumptions such as ultra log-concavity and total negative dependence. We show that the bounds obtained compare well to others in the literature. Examples treated include some occupancy and urn models, a random graph model and small spacings on the circumference of a circle. Applications to Poisson convergence theorems are considered.
Keywords
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Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Fraser Daly, Oliver Johnson,