This paper describes a method for carrying out non-asymptotic inference on partially identifi ed parameters that are solutions to a class of optimization problems. The optimization problems arise in applications in which grouped data are used for estimation of a model's structural parameters....

"We provide stylized facts on the evolving shape dynamics of the US personal income distribution from 1962 to 2000. Based on adaptive kernel density estimation, we propose an adaptive bootstrap test for multimodality. Our results indicate that multimodality has been a predominant feature of the...