Before revision:  This result , which is new even under one-way clustering, implies simple central limit theorems for sample averages . It is also key for showing the asymptotic normality of nonlinear estimators such as GMM and smooth functionals of the empirical cumulative distribution function .
After revision:  This result , which is new even under one-way clustering, implies simple central limit theorems for sample averages but is also key for showing the asymptotic normality of nonlinear estimators such as GMM and smooth functionals of the empirical cumulative distribution function .