170 citations · 1k across the 48 of their papers we have counts for
54 papers
Hardy's Inequality and Its Descendants
Chris A. J. Klaassen, Jon A. Wellner
We formulate and prove a generalization of Hardy's inequality (Hardy,1925) in terms of random variables and show that it contains the usual (or familiar) continuous and discrete fo…
Bi--Concave Distributions
Nilanjana Laha, Zhen Miao, Jon A. Wellner
We introduce new shape-constrained classes of distribution functions on R, the bi--concave classes. In parallel to results of Dümbgen, Kolesnyk, and Wilke (2017) for what they…
The density ratio of Poisson binomial versus Poisson distributions
Lutz Duembgen, Jon A. Wellner
Let be the probability that a sum of independent Bernoulli random variables with parameters equals , where $λ:= p_1 + p_2 + p_3 + \cdots…
Complex sampling designs: uniform limit theorems and applications
Qiyang Han, Jon A. Wellner
In this paper, we develop a general approach to proving global and local uniform limit theorems for the Horvitz-Thompson empirical process arising from complex sampling designs. Gl…
Bounding distributional errors via density ratios
Lutz Duembgen, Richard Samworth, Jon Wellner
We present some new and explicit error bounds for the approximation of distributions. The approximation error is quantified by the maximal density ratio of the distribution to…
Robustness of shape-restricted regression estimators: an envelope perspective
Qiyang Han, Jon A. Wellner
Classical least squares estimators are well-known to be robust with respect to moment assumptions concerning the error distribution in a wide variety of finite-dimensional statisti…