A conservative estimator for the proportion of false nulls based on Dvoretzky, Kiefer and Wolfowitz inequality

DOI10.1016/J.SPL.2011.07.017zbMath1225.62043OpenAlexW2037525758WikidataQ59397050 ScholiaQ59397050MaRDI QIDQ645440

Simona Pacillo, Alessio Farcomeni

Publication date: 15 November 2011

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2011.07.017

zbMATH Keywords

multiple testingmixture modelsphoton arrival times

Mathematics Subject Classification ID

Nonparametric estimation (62G05)

Uses Software

• R

Cites Work

• Estimating the proportion of false null hypotheses among a large number of independently tested hypotheses
• On the Benjamini-Hochberg method
• The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality
• More powerful control of the false discovery rate under dependence
• Mixing: Properties and examples
• The limiting behavior of a modified maximal symmetric \(2s\)-spacing with applications
• Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
• Adaptive linear step-up procedures that control the false discovery rate
• Lower bounds for the number of false null hypotheses for multiple testing of associations under general dependence structures
• A review of modern multiple hypothesis testing, with particular attention to the false discovery proportion
• Inégalités de Hoeffding pour les fonctions lipschitziennes de suites dépendantes
• A Direct Approach to False Discovery Rates
• Estimating the Proportion of True Null Hypotheses, with application to DNA Microarray Data

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