A Modification of a Truncated Partial Sequential Procedure
针对Billard提出的截断部分序贯检验中接受原假设时所需样本量过大的问题，提出一种新方法，显著降低了所有均值下的期望样本量，尤其接近原假设均值时效果明显，并推导了理论操作特征和平均样本量函数。
Recently Billard (1977) introduced a truncated partial sequential procedure for testing a null hypothesis about a normal mean with known variance against a two-sided alternative hypothesis. That procedure had a disadvantage that a large number of observations was necessary if the null hypothesis was to be accepted. A new procedure is introduced which reduces the expected sample size for all mean values with considerable reductions for values near the null mean value. Theoretical operating characteristic and average sample number functions are derived.