SOME PROPERTIES OF SPEARMAN-TYPE ESTIMATORS OF VARIANCE AND PERCENTILES IN BIOASSAY
成果类型：
Article
署名作者：
CHMIEL, JJ
署名单位：
Stanford University
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.2307/2335743
发表日期：
1976
页码：
621626
关键词：
摘要：
Theoretical results for the Spearman-type variance estimator in the quantal response bioassay problem are determined when the mean of the underlying tolerance distribution is known, and also when it is unknown. For an experiment with infinitely many dose levels, the estimator is proved to be finite with probability 1, and its mean and variance are given. Allowing the dose interval to approach 0, the estimator is shown to be asymptotically normal and asymptotically highly efficient. Similar asymptotic findings are also reached for a Spearman-type percentile estimator. The results approximate the performance of Spearman-type estimators in most practical situations and argue for their use.
来源URL：