A literature search shows that robust regression techniques are rarely used in applied econometrics. We present a technique based on Rousseeuw and Van Zomeren (Journal of the American Statistical Association, 85 (1990) 633–639) that removes many of the difficulties in applying such techniques...

For a broad class of linear biased estimators, we establish conditions under which the F statistic based on biased estimators is identical to the F statistic based on least-squares estimator. Several biased estimators in the literature are shown to satisfy these conditions

This paper studies a class of exponential family models whose canonical parameters are specified as linear functionals of an unknown infinite-dimensional slope function. The optimal minimax rates of convergence for slope function estimation are established. The estimators that achieve the...

In this supplemental article, we introduce some useful results in spectral theory and perturbation theory. Some of the results are well-established. We briefly review them for the purpose of easy reference. We derive a novel bound for the perturbation of eigenprojections, which plays a key role...

We focus on the construction of confidence corridors for multivariate nonparametric generalized quantile regression functions. This construction is based on asymptotic results for the maximal deviation between a suitable nonparametric estimator and the true function of interest, which follow...

This work describes a versatile and readily-deployable sensitivity analysis of an ordinary least squares (OLS) inference with respect to possible endogeneity in the explanatory variables of the usual k-variate linear multiple regression model. This sensitivity analysis is based on a derivation...

Several recent papers employ the regression discontinuity design (RDD) to estimate the causal effect of a diploma (or similar credentials) on wages. Using a simple model of asymmetric information, I show that RDD estimates the information value of a diploma. A positive information value arises...

This article provides new evidence on various factors that affect residential energy consumption in France. We model the consumption of residential energy in dwellings and apply a bottom-up statistical approach. Our quantile regression model uses an innovative variable selection method via the...

To study the development of wage inequality is important for the economic performance as well as for the development of employment. First, I estimate the remuneration to personal characteristics for Germans and immigrants across the wage distribution using quantile regression. My database is the...