170 citations · 1k across the 48 of their papers we have counts for
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math.ST2014★ 7 cited
On Convex Least Squares Estimation when the Truth is Linear
Yining Chen, Jon A. Wellner
We prove that the convex least squares estimator (LSE) attains a pointwise rate of convergence in any region where the truth is linear. In addition, the asymptotic distr…
math.ST2014
Log-concavity and strong log-concavity: a review
Adrien Saumard, Jon A. Wellner
We review and formulate results concerning log-concavity and strong-log-concavity in both discrete and continuous settings. We show how preservation of log-concavity and strongly l…
math.ST2014
A New Approach to Tests and Confidence Bands for Distribution Functions
Lutz Duembgen, Jon A. Wellner
We introduce new goodness-of-fit tests and corresponding confidence bands for distribution functions. They are inspired by multi-scale methods of testing and based on refined laws…