Exponential bounds for the hypergeometric distribution.
Exponential bounds for the hypergeometric distribution.
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DOI：
10.3150/15-bej800
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发表时间：
2017-08
期刊：
影响因子：
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通讯作者：
Wellner JA
中科院分区：
文献类型：
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作者：
Greene E;Wellner JA
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 (Statist. Probab. Lett. 62 (2003) 345–354) and Talagrand (Ann. Probab. 22 (1994) 28–76). We also extend a convex ordering of Kemperman’s (Nederl. Akad. Wetensch. Proc. Ser. A 76 = Indag. Math. 35 (1973) 149–164) 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.
