Uniform Validity of the Subset Anderson-Rubin Test under Heteroskedasticity and Nonlinearity
异方差与非线性下子集 Anderson–Rubin 检验的一致有效性
We consider the Anderson-Rubin (AR) statistic for a general set of nonlinear moment restrictions. The statistic is based on the criterion function of the continuous updating estimator (CUE) for a subset of parameters not constrained under the Null. We treat the data distribution nonparametrically with parametric moment restrictions imposed under the Null. We show that subset tests and confidence intervals based on the AR statistic are uniformly valid over a wide range of…