23 citations · 44 across the 13 of their papers we have counts for
4 papers · 1 filter
Convex Regression in Multidimensions: Suboptimality of Least Squares Estimators
Gil Kur, Fuchang Gao, Adityanand Guntuboyina +1
Under the usual nonparametric regression model with Gaussian errors, Least Squares Estimators (LSEs) over natural subclasses of convex functions are shown to be suboptimal for esti…
Global Rates of Convergence of the MLE for Multivariate Interval Censoring
Jon A. Wellner, Fuchang Gao
We establish global rates of convergence of the Maximum Likelihood Estimator (MLE) of a multivariate distribution function in the case of (one type of) "interval censored" data. Th…
How many Laplace transforms of probability measures are there?
Fuchang Gao, Wenbo V. Li, Jon A. Wellner
A bracketing metric entropy bound for the class of Laplace transforms of probability measures on [0,\infty) is obtained through its connection with the small deviation probability…
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…