170 citations · 1k across the 48 of their papers we have counts for
5 papers · 2 filters
Entropy Estimate For High Dimensional Monotonic Functions
Fuchang Gao, Jon A. Wellner
We establish upper and lower bounds for the metric entropy and bracketing entropy of the class of -dimensional bounded monotonic functions under norms. It is interesting t…
Conjecture of error boundedness in a new Hermite interpolation problem via splines of odd-degree
Fadoua Balabdaoui, Jon A. Wellner
We present a Hermite interpolation problem via splines of odd-degree which, to the best knowledge of the authors, has not been considered in the literature on interpolation via odd…
Estimation of a k-monotone density, part 1: characterizations consistency, and minimax lower bounds
Fadoua Balabdaoui, Jon A. Wellner
Shape constrained densities are encountered in many nonparametric estimation problems. The classes of monotone or convex (and monotone) densities can be viewed as special cases of…
Two likelihood-based semiparametric estimation methods for panel count data with covariates
Jon A. Wellner, Ying Zhang
We consider estimation in a particular semiparametric regression model for the mean of a counting process with ``panel count'' data. The basic model assumption is that the conditio…
Estimation of a -monotone density: limit distribution theory and the spline connection
Fadoua Balabdaoui, Jon A. Wellner
We study the asymptotic behavior of the Maximum Likelihood and Least Squares Estimators of a -monotone density at a fixed point when . We find that the th de…