This paper develops a general framework for conducting inference on the rank of an unknown matrix \Pi_0. A defining feature of our setup is the null hypothesis of the form H_0: rank(\Pi_0)\leq r. The problem is of first order importance because the previous literature focuses on H_0':...

We propose an econometric procedure to test for the presence of overconfidence using data collected by ranking experiments. Our approach applies the techniques from the moment inequality literature. Although a ranking experiment is a typical way to collect data for the analysis of...

The selection of upper order statistics in tail estimation is notoriously difficult. Methods that are based on asymptotic arguments, like minimizing the asymptotic MSE, do not perform well in finite samples. Here, we advance a data-driven method that minimizes the maximum distance between the...

This paper explores the foundations and properties of the quantal response statistical equilibrium (QRSE) model developed by Scharfenaker and Foley (2017). The QRSE model provides a behavioral foundation for the formation of aggregate economic outcomes in social systems characterized by negative...

This paper develops extremum estimation and inference results for nonlinear models with very general forms of potential identification failure when the source of this identification failure is known. We examine models that may have a general deficient rank Jacobian in certain parts of the...

Maximum likelihood estimation has been the workhorse of statistics for decades, but alternative methods, going under the name “regularization,” are proving to have lower predictive variance. Regularization shrinks fitted values towards the overall mean, much like credibility does. There is...

This quick note is intended to further inform the reader on the inherent flexibility of partial moments. We are not re-inventing a wheel. Conditional probability is conditional probability, nothing has changed. What we have uniquely done is represent the partial moment equivalences to these...

We derive new statistical tests for leave-one-out cross-validation of Kriging models. Graphically, we present these tests as scatterplots augmented with confidence intervals. We may wish to avoid extrapolation, which we define as prediction of the output for a point that is a vertex of the...