Bounds on the Poincare constant of ultra log-concave random variables

Details Bounds on the Poincare constant of ultra log-concave random variables Bounds on the Poincare constant of ultra log-concave random variables

2008-01-14

arxiv.org/abs/0801.2112v1

Mathematics

Probability

11 pages

Scientific paper

We consider the discrete Poincar\'{e} constant, which relates the variance of
a function to the expected square of its finite difference. We give an explicit
bound on the Poincar\'{e} constant of ultra log-concave random variables in
terms of their first two moments, and discuss how this bound relates to
calculations performed by other authors.

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