When Is GMM Actually LATE? Weighting Matrices and Causal Interpretation in Overidentified IV
GMM 何时具有 LATE 解释?过度识别工具变量中的权重矩阵与因果含义
Under heterogeneous treatment effects, the weighting matrix of overidentified IV-GMM selects the estimand, not just its precision. We characterize the selection exactly: for any parameter-free weighting-matrix map, the GMM estimand is a sum-to-one combination of instrument-specific Wald estimands, with closed-form weights and an exact non-negativity condition; efficient weighting adds a heterogeneity penalty. Continuously updated GMM exits this class through a variance-score…