Single-index quantile regression (QR) models can avoid the curse of dimensionality in nonparametric problems by assuming that response is only related to a single linear combination covariates. Like standard parametric or QR whose estimated curves may cross, single-index also suffer crossing, leading an invalid distribution for response. This issue has attracted considerable attention literatur...

Receiver operating characteristic (ROC) curve is widely applied in measuring discriminatory ability of diagnostic or prognostic tests. This makes ROC analysis one of the most active research areas in medical statistics. Many parametric and semiparametric estimation methods have been proposed for estimating the ROC curve and its functionals. In this paper, we propose a fully nonparametric Bayesi...