A computationally simpler algorithm for the UMVUE of a normal mean following a group sequential trial

A computationally simpler algorithm for the UMVUE of a normal mean following a group sequential trial
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DOI:
10.2307/2533122
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发表时间:
1997-03-01
期刊:
影响因子:
1.9
通讯作者:
Kittelson, JM
Kittelson, JM
中科院分区:
数学3区
文献类型:
--
作者:
Emerson, SS;Kittelson, JM

文献摘要

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当使用在组序贯临床试验中收集的数据时,样本均值不再是正态分布均值的均匀最小方差无偏估计量(UMVUE)。Emerson (1993, Computers and Biomedical Research, 26, 68-73)描述了在这种情况下计算UMVUE的算法。该算法虽然计算量大,但只使用了导出群序列边界所需的基本软件。在本文中,我们提出了一种改进的算法,大大减少了计算时间。
When using data collected in a group sequential clinical trial, the sample mean is no longer the uniform minimum variance unbiased estimator (UMVUE) of the mean of a normal distribution. Emerson (1993, Computers and Biomedical Research, 26, 68-73) described an algorithm for computing the UMVUE in this setting. This algorithm, although computationally expensive, used only the basic software necessary for deriving group sequential boundaries. In this paper, we present an improved algorithm that results in greatly decreased computation times.