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Exponential bounds for the hypergeometric distribution
Evan Greene, Jon A. Wellner · 2015-07-30 · via math.ST updates on arXiv.org

We establish exponential bounds for the hypergeometric distribution which include a finite sampling correction factor, but are otherwise analogous to bounds for the binomial distribution due to León and Perron (2003) and Talagrand (1994). We also establish a convex ordering for sampling without replacement from populations of real numbers between zero and one: a population of all zeros or ones (and hence yielding a hypergeometric distribution in the upper bound) gives the extreme case.

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