Detecting Sparse Heterogeneous Mixtures in a Two-Sample Problem

Rong Huang

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Detecting Sparse Heterogeneous Mixtures in a Two-Sample Problem

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arxiv 2011.13496 v1 pith:TSONG6EV submitted 2020-11-26 math.ST stat.TH

Detecting Sparse Heterogeneous Mixtures in a Two-Sample Problem

Rong Huang This is my paper

classification math.ST stat.TH

keywords two-sampledetectingheterogeneousmixturesproblemsparsetestcomparable

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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.

Detecting Sparse Heterogeneous Mixtures in a Two-Sample Problem

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