Estimation and Inference in Two-Step Econometric Models
Abstract:A commonly used procedure in a wide class of impirical applications is to impute unobserved regressors, such as expectations, from an auxiliary econometric model. This two-step (T-S) procedure fails to account for he fact that imputed regessors are measured with sampling error, so hypothesis tests based on the estimated covariance matrix of the second-step estimator are biased, even in large samples. We present a simple yet general method of calculating asymptotically correct standard errors in T-S models. The proceedure may be applied even when joint estimation methods, such as full information maximum likelihood, are inappropriate or computationally infeasible. We present two examples from recent empirical literature in which these corrections have a major impact on hypothesis testing.
摘要:在广泛的实际应用中,一个常用的程序是从辅助计量经济学模型中计算未观察到的回归变量,如预期。这种两步法(T-S)未能考虑到这样一个事实,即估计的累加器是在抽样误差下测量的,因此基于第二步估计器的估计协方差矩阵的假设检验是有偏的,即使在大样本下也是如此。给出了一种计算T-S模型中渐近修正标准差的简单而通用的方法。即使在联合估计方法,如全信息最大似然法不合适或在计算上不可行的情况下,也可以应用该程序。我们提供了最近经验文献中的两个例子,在这些例子中,这些修正对假设检验有重大影响。
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