一种非参数模拟极大似然估计方法

A NONPARAMETRIC SIMULATED MAXIMUM LIKELIHOOD ESTIMATION METHOD

Econometric Theory · 2004
被引 73
人大 A-ABS 4

中文导读

提出一种基于模拟样本非参数估计似然函数的模拟极大似然方法,证明其在静态模型中一致且渐近有效,并扩展到动态模型,通过动态Tobit模型的蒙特卡洛模拟验证效果。

Abstract

Existing simulation-based estimation methods are either general purpose but asymptotically inefficient or asymptotically efficient but only suitable for restricted classes of models. This paper studies a simulated maximum likelihood method that rests on estimating the likelihood nonparametrically on a simulated sample. We prove that this method, which can be used on very general models, is consistent and asymptotically efficient for static models. We then propose an extension to dynamic models and give some Monte-Carlo simulation results on a dynamic Tobit model.We thank Jean-Pierre Florens, Arnoldo Frigessi, Christian Gouriéroux, Jim Heckman, Guy Laroque, Oliver Linton, Nour Meddahi, Alain Monfort, Eric Renault, Christian Robert, Neil Shephard, and two referees for their comments. Remaining errors and imperfections are ours. Parts of this paper were written while Bernard Salanié was visiting the University of Chicago, which he thanks for its hospitality.

非参数模拟极大似然估计渐近有效性动态Tobit模型蒙特卡洛模拟