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• W3146413574 abstract "We consider the problem of detecting a general sparse mixture and obtain an explicit characterization of the phase transition under some conditions, generalizing the univariate results of Cai and Wu. Additionally, we provide a sufficient condition for the adaptive optimality of a Higher Criticism type testing statistic formulated by Gao and Ma. In the course of establishing these results, we offer a unified perspective through the large deviations theory. The phase transition and adaptive optimality we establish are direct consequences of the large deviation principle of the normalized log-likelihood ratios between the null and the signal distributions." @default.
• W3146413574 created "2021-04-13" @default.
• W3146413574 creator A5041495779 @default.
• W3146413574 date "2022-01-01" @default.
• W3146413574 modified "2023-09-25" @default.
• W3146413574 title "Statistical limits of sparse mixture detection" @default.
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• W3146413574 doi "https://doi.org/10.1214/22-ejs2053" @default.
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