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Detecting Sparse Heterogeneous Mixtures in a Two-Sample Problem

Statistics Theory 2020-11-30 v1 Statistics Theory

Abstract

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. We suggest a two-sample higher criticism test, and show that it is first-order comparable to the likelihood ratio test for the generalized Guassian mixture models in all sparsity regimes.

Keywords

Cite

@article{arxiv.2011.13496,
  title  = {Detecting Sparse Heterogeneous Mixtures in a Two-Sample Problem},
  author = {Rong Huang},
  journal= {arXiv preprint arXiv:2011.13496},
  year   = {2020}
}
R2 v1 2026-06-23T20:32:21.038Z