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Large-Deviation Bounds for Sampling without Replacement

Kyle Luh and Nicholas Pippenger
The American Mathematical Monthly
Vol. 121, No. 5 (May 2014), pp. 449-454
DOI: 10.4169/amer.math.monthly.121.05.449
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.121.05.449
Page Count: 6
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Large-Deviation Bounds for Sampling without Replacement
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Abstract

Abstract We give a simple argument, based on drawing balls from urns, showing that the exponential bound on the probability of a large deviation for sampling with replacement applies also to sampling without replacement. This result includes as a special case the relationship between the binomial and hypergeometric distributions.

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