This dissertation proposes an oracle efficient estimator in the context of a sparse linear model. Chapter 1 introduces the penalty and the estimator that optimizes a penalized least squares objective. Unlike existing methods, the penalty is differentiable – once, and hence the estimator does not engage in model selection. This...
Several semiparametric estimators recently developed in the econometrics literature are based on the rank correlation between the dependent and explanatory variables. Examples include the maximum rank correlation estimator (MRC) of Han (1987), the monotone rank estimator (MR) of Cavanagh and Sherman (1998), the pairwise-difference rank estimators (PDR) of Abrevaya (2003),...
This dissertation is composed of three chapters, each contributing to different aspects of the literature of partially identified econometric models.
In the first chapter, I introduce a bootstrap procedure to perform inference in the class of partially identified econometric models defined by finitely many moment equalities and inequalities. I provide...