New approaches to nonparametric and semiparametric regression for univariate and multivariate group testing data
单变量与多变量群组检测数据的非参数及半参数回归新方法
We consider nonparametric and semiparametric estimation of a conditional probability curve in the case of group testing data, where the individuals are pooled randomly into groups and only the pooled data are available. We derive a nonparametric weighted estimator that has optimality properties accounting for group sizes, and show how to extend it to multivariate settings, including the partially linear model. In the group testing context, it is natural to assume that the…