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math.ST2020
Detecting Sparse Heterogeneous Mixtures in a Two-Sample Problem
Rong Huang
We consider the problem of detecting sparse heterogeneous mixtures in a two-sample setting from a nonparametric perspective, where the effect manifests itself as a positive shift.…
math.ST2018
Detection of Sparse Positive Dependence
Ery Arias-Castro, Rong Huang, Nicolas Verzelen
In a bivariate setting, we consider the problem of detecting a sparse contamination or mixture component, where the effect manifests itself as a positive dependence between the var…
math.ST2018
The Sparse Variance Contamination Model
Ery Arias-Castro, Rong Huang
We consider a Gaussian contamination (i.e., mixture) model where the contamination manifests itself as a change in variance. We study this model in various asymptotic regimes, in p…