Limited Dependent Variable Models with Fixed Effects

该项目将开发有限因变量模型的估计器，也称为Tobit模型，具有固定的影响。就个体而言，固定效应模型和托比特模型在经验经济学中经常被使用。具有固定效应的Tobit模型被劳动力供给的结构生命周期模型和许多其他模型所隐含，并且作为一种简化的形式规范而引起人们的兴趣。随着个体数目的增加(每个个体的观测值数目固定)，固定效应估计量的渐近结果是可取的。当个体数量变大时，当前固定效应的Tobit模型的估计量都不是渐近正态的，甚至是一致的。该项目将解决这一问题，同时放宽一些分布假设。还将检查所构造的估计器的效率。这项研究将得到模拟的补充。考虑到经济学中重要的面板数据集的可用性，这些估计量的发展将改善许多重要类型经济模型的估计，特别是在劳动经济学领域。

The project will develop estimators of limited dependent variable models, also known as Tobit models, with fixed effects. Individually, fixed effects models and Tobit models are frequently used in empirical economics. A Tobit model with fixed- effects is implied by a structural life cycle model of labor supply and many other models, and is of interest as a reduced form specification. It is desirable to have asymptotic results for fixed effects estimators as the number of individuals increases (with the number of observations per individual fixed). No current estimators for Tobit models with fixed effects are asymptotically normal, or even consistent, as the number of individuals gets large. The project will solve this problem and at the same time relax some of the distributional assumptions. The efficiency of the estimators that are constructed will also be examined. The research will be supplemented with simulations. Given the availability of important panel data sets in economics, the development of these estimators will improve the estimation of many important types of economic models, especially in the area of labor economics.