Semiparametric Local Projections
半参数局部投影
Silvia Goncalves, Ana Maria Herrera, Lutz Kilian, Elena Peavento, Iones Kelanemer Holban
AI总结 提出一种半参数局部投影估计量,用于非线性脉冲响应函数,基于双稳健矩条件结合交叉拟合,实现√T一致性和渐近正态性。
详情
我们提出了一种半参数局部投影估计量,用于估计一类广泛的结构动态模型的非线性脉冲响应函数,这些模型与应用宏观经济学相关,包括具有非线性变换回归变量、状态依赖系数以及冲击与状态变量之间非线性相互作用的模型。该估计量基于一个双稳健矩条件,该条件将平均响应函数识别为非参数条件均值的线性泛函,并辅以一个密度比来捕捉移动感兴趣冲击的效果。我们将此矩条件与处理序列依赖的交叉拟合相结合。得到的估计量是$\sqrt{T}$一致且渐近正态的。我们在一系列非线性数据生成过程中检验了该估计量的有限样本性能,并通过两个实证示例说明了其应用。
We propose a semiparametric local projection estimator of nonlinear impulse response functions for a broad class of structural dynamic models relevant for applied macroeconomics, including models with nonlinearly transformed regressors, state dependent coefficients, and nonlinear interactions between shocks and state variables. The estimator is based on a doubly robust moment condition that identifies the average response function as a linear functional of a nonparametric conditional mean, augmented by a density ratio that captures the effect of shifting the shock of interest. We combine this moment condition with cross-fitting that handles serial dependence. The resulting estimator is $\sqrt{T}$-consistent and asymptotically normal. We examine the finite-sample performance of the estimator across a range of nonlinear data generating processes and illustrate its use in two empirical examples.