NONPARAMETRIC REGRESSION WITH HOMOGENEOUS GROUP TESTING DATA

• 成果类型: Article
• 署名作者: Delaigle, Aurore; Hall, Peter
• 署名单位: University of Melbourne
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/11-AOS952
• 发表日期: 2012
• 页码: 131-158
• 关键词: models; PREVALENCE; disease; samples; water

摘要

We introduce new nonparametric predictors for homogeneous pooled data in the context of group testing for rare abnormalities and show that they achieve optimal rates of convergence. In particular, when the level of pooling is moderate, then despite the cost savings, the method enjoys the same convergence rate as in the case of no pooling. In the setting of over-pooling the convergence rate differs from that of an optimal estimator by no more than a logarithmic factor. Our approach improves on the random-pooling nonparametric predictor, which is currently the only nonparametric method available, unless there is no pooling, in which case the two approaches are identical.