论文标题
通过随机抽样进行随机测试而无需替换而提高显着性
Significance improvement by randomized test in random sampling without replacement
论文作者
论文摘要
本文研究了在随机抽样下无需替代的过程中的单方假设检验。也就是说，当$ n+1 $二进制随机变量$ x_1，\ ldots，x_ {n+1} $受到排列不变分布和$ n $ binary随机变量$ x_1，\ ldots，x_ {n} $的随机测试，我们已经提出了随机测试，我们已经提出了随机测试的随机性限制$ th $ th $ th $ th $ th $ th $ th $ th $ th $ th $ th $（n $ x_ {n+1} $在给定的显着性水平$δ> 0 $下。我们提出的随机测试在确定性测试方面显着改善，与替换的随机抽样不同。
This paper studies one-sided hypothesis testing under random sampling without replacement. That is, when $n+1$ binary random variables $X_1,\ldots, X_{n+1}$ are subject to a permutation invariant distribution and $n$ binary random variables $X_1,\ldots, X_{n}$ are observed, we have proposed randomized tests with a randomization parameter for the upper confidence limit of the expectation of the $(n+1)$th random variable $X_{n+1}$ under a given significance level $δ>0$. Our proposed randomized test significantly improves over deterministic test unlike random sampling with replacement.
