Algorithms for generating small random samples

Vincent A. Cicirello
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Abstract

We present algorithms for generating small random samples without replacement. We consider two cases. We present an algorithm for sampling a pair of distinct integers, and an algorithm for sampling a triple of distinct integers. The worst‐case runtime of both algorithms is constant, while the worst‐case runtimes of common algorithms for the general case of sampling elements from a set of increase with . Java implementations of both algorithms are included in the open source library .
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生成小随机样本的算法
我们提出了无需替换生成小随机样本的算法。我们考虑了两种情况。我们介绍了一对不同整数的采样算法,以及三对不同整数的采样算法。这两种算法的最坏运行时间都是恒定的,而在从一组增加的元素中抽样的一般情况下,普通算法的最坏运行时间都是恒定的。这两种算法的 Java 实现都包含在开源库 .NET 中。
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