170 citations · 1k across the 48 of their papers we have counts for
4 papers · 2 filters
Exponential bounds for the hypergeometric distribution
Evan Greene, Jon A. Wellner
We establish exponential bounds for the hypergeometric distribution which include a finite sampling correction factor, but are otherwise analogous to bounds for the binomial distri…
Approximation and Estimation of s-Concave Densities via Rényi Divergences
Qiyang Han, Jon A. Wellner
In this paper, we study the approximation and estimation of -concave densities via Rényi divergence. We first show that the approximation of a probability measure by an -…
Finite sampling inequalities: an application to two-sample Kolmogorov-Smirnov statistics
Evan Greene, Jon A. Wellner
We review a finite-sampling exponential bound due to Serfling and discuss related exponential bounds for the hypergeometric distribution. We then discuss how such bounds motivate s…
A law of the iterated logarithm for Grenander's estimator
Lutz Duembgen, Jon A. Wellner, Malcolm Wolff
In this note we prove the following law of the iterated logarithm for the Grenander estimator of a monotone decreasing density: If , , and is continuo…