Split Sample Methods for Constructing Confidence Intervals for Binomial and Poisson Parameters
构造二项与泊松参数置信区间的样本分割方法
Summary We introduce a new method for improving the coverage accuracy of confidence intervals for means of lattice distributions. The technique can be applied very generally to enhance existing approaches, although we consider it in greatest detail in the context of estimating a binomial proportion or a Poisson mean, where it is particularly effective. The method is motivated by a simple theoretical result, which shows that, by splitting the original sample of size n into…