In this article, we study a direct receiver operating characteristic (ROC) curve regression model with completely unknown link and baseline functions. A semiparametric procedure is proposed to estimate both the parametric and non-parametric components of the model. The resulting parameter estimates and ROC curve estimates are shown to be consistent and asymptotically normal with a n -1/2 convergence rate. With arbitrary link and baseline functions, our model is more robust than existing direct ROC regression models that require either complete or partially complete specification of the link and baseline functions. Moreover, the robustness of our new method is gained at little cost to efficiency, as evidenced by the parametric convergence rate of our estimators and by the simulation study. An illustrative example is given using a hearing test data set.

中文翻译：

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具有未知链接和基线函数的直接半参数接收器操作特征曲线回归

在本文中，我们研究了具有完全未知的链接和基线函数的直接接收者操作特征 (ROC) 曲线回归模型。提出了一种半参数程序来估计模型的参数和非参数分量。结果参数估计和 ROC 曲线估计显示为一致且渐近正态，收敛速度为 -1/2。使用任意链接和基线函数，我们的模型比现有的直接 ROC 回归模型更稳健，后者需要完整或部分完整的链接和基线函数规范。此外，我们的估计器的参数收敛速度和模拟研究证明，我们的新方法的鲁棒性以较低的效率成本获得。