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.

翻译：我们从非参数的角度来考虑在两样样本中检测稀有的多元混合物的问题,其效果表现为积极的转变。 我们建议采用两样式的更高批评测试,并表明它与所有零星体系中通用的瓜西语混合模型的可能性比率测试相近。