ESTIMATING THE PROPORTION OF IMMUNES IN A CENSORED SAMPLE
ESTIMATING THE PROPORTION OF IMMUNES IN A CENSORED SAMPLE
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DOI：
10.2307/2337228
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发表时间：
1992-12-01
期刊：
影响因子：
2.7
通讯作者：
ZHOU, S
中科院分区：
文献类型：
--
作者：
MALLER, RA;ZHOU, S
提出了一种“免疫者”在人群中所占比例的估计值，该估计值的失效时间是经过审查的。我们的建议是使用Kaplan-Meier经验分布函数的最大观测值减去1。在适度条件下，证明了该估计量是相合的和渐近正态的。模拟表明，如果免疫比例不太接近于零，对于相当小的样本量，估计器近似为正态。提出了一个简单的非参数统计量来检验分析的假设是否可能有效。
An estimator for the proportion of 'immunes' in a population is proposed, when a sample of censored failure times is available. Our suggestion is to use one minus the maximum observed value of the Kaplan-Meier empirical distribution function. This estimator is shown to be consistent and asymptotically normal, under modest conditions on the censoring mechanism. Simulations suggest that the estimator is approximately normal for quite small sample sizes, provided the immune proportion is not too close to zero. A simple nonparametric statistic is proposed to test whether the assumptions of the analysis are likely to be valid.