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This article is cited in 4 scientific papers (total in 4 papers)
Theory of Probability and Mathematical Statistics
Consistency of the risk estimate of the multiple hypothesis testing with the FDR threshold
A. Yu. Zaspaa, O. V. Shestakovab a Lomonosov Moscow State University
b Institute of Informatics Problems, Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences
Abstract:
We consider the method of denoising the sparse signals based on the multiple hypothesis testing with the use of the FDR threshold. In the model with a white Gaussian noise we prove the consistency of the unbiased mean-square risk estimator.
Keywords:
multiple hypothesis testing, thresholding, risk estimate, consistency.
Received: 02.02.2017 Revised: 14.03.2017
Citation:
A. Yu. Zaspa, O. V. Shestakov, “Consistency of the risk estimate of the multiple hypothesis testing with the FDR threshold”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, no. 1, 5–16
Linking options:
https://www.mathnet.ru/eng/vtpmk119 https://www.mathnet.ru/eng/vtpmk/y2017/i1/p5
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