modify or "regularize" the identifying mapping is explained, and methods for regularization and estimation are discussed … the population distribution. If the inverse mapping is discontinuous, then estimation of the parameter usually presents an … interest is a function. This paper explains how ill-posedness arises and why it causes problems for estimation. The need to …

motivates the introduction of a regularization scheme. The paper proposes a penalized series estimation method to alleviate the …This paper analyzes the problem of weak instruments on identification, estimation, and inference in a simple …