How to deal with nonignorable response is often a challenging problem encountered in statistical analysis with missing data. Parametric model assumption for the response mechanism is sensitive to model misspecification. We consider a semiparametric response model that relaxes the parametric model assumption in the response mechanism. Two types of efficient estimators, profile maximum likelihood estimator and profile calibration estimator, are proposed, and their asymptotic properties are investigated. Two extensive simulation studies are used to compare with some existing methods. We present an application of our method using data from the Korean Labor and Income Panel Survey.

中文翻译：

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使用半参数不可忽略无反应模型进行统计推断

如何处理不可忽略的响应往往是缺失数据统计分析中遇到的一个具有挑战性的问题。响应机制的参数模型假设对模型错误指定很敏感。我们考虑一个半参数响应模型，它放宽了响应机制中的参数模型假设。提出了两种类型的有效估计器：轮廓最大似然估计器和轮廓校准估计器，并研究了它们的渐近性质。使用两项广泛的模拟研究来与一些现有方法进行比较。我们使用韩国劳动和收入小组调查的数据展示了我们的方法的应用。