Rate of Convergence of Risk Estimate to the Normal Law When Using an FDR-Threshold under Conditions of Weak Dependence

This paper considers an approach to solving the problem of noise removal in a large array of sparse data under conditions of weak dependence based on controlling the false discovery rate. An order estimate is obtained for the rate of convergence of the root-mean-square (RMS) risk estimate of this approach to the normal law.

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Publication Details

Journal
Moscow University Computational Mathematics and Cybernetics
Published
2025-09-01
DOI
https://doi.org/10.3103/s0278641925700116
Primary Topic
Statistical Methods and Inference
Type
article
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article

Rate of Convergence of Risk Estimate to the Normal Law When Using an FDR-Threshold under Conditions of Weak Dependence

M. O. Vorontsov
Moscow University Computational Mathematics and Cybernetics
Statistical Methods and Inference
article

Rate of Convergence of Risk Estimate to the Normal Law When Using an FDR-Threshold under Conditions of Weak Dependence

M. O. Vorontsov
article en

Abstract

This paper considers an approach to solving the problem of noise removal in a large array of sparse data under conditions of weak dependence based on controlling the false discovery rate. An order estimate is obtained for the rate of convergence of the root-mean-square (RMS) risk estimate of this approach to the normal law.

Moscow University Computational Mathematics and CyberneticsVol. 49(3)
Lomonosov Moscow State University (RU), Moscow Center For Continuous Mathematical Education (RU)
Openalex Percentile: Top 78%
Statistical Methods and Inference
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