动态模型的筛子模拟矩估计法

A Sieve‐SMM Estimator for Dynamic Models

Econometrica · 2023
被引 4
人大 A+FT50ABS 4*

中文导读

提出筛子模拟矩估计法,灵活逼近冲击分布,解决非线性动态模型中参数和分布估计对误设敏感的问题,应用于生产经济资产定价发现相对风险厌恶估计大幅下降。

Abstract

This paper proposes a Sieve Simulated Method of Moments (Sieve‐SMM) estimator for the parameters and the distribution of the shocks in nonlinear dynamic models where the likelihood and the moments are not tractable. An important concern with SMM, which matches sample with simulated moments, is that a parametric distribution is required. However, economic quantities that depend on this distribution, such as welfare and asset prices, can be sensitive to misspecification. The Sieve‐SMM estimator addresses this issue by flexibly approximating the distribution of the shocks with a Gaussian and tails mixture sieve. The asymptotic framework provides consistency, rate of convergence, and asymptotic normality results, extending existing results to a new framework with more general dynamics and latent variables. An application to asset pricing in a production economy shows a large decline in the estimates of relative risk aversion, highlighting the empirical relevance of misspecification bias.

Sieve-SMM估计量非线性动态模型冲击分布误设定偏差