Authors : ... (Author of the conference)
... (Publisher )
Abstract :
When performing multiple testing, adjusting the distribution of the null hypotheses is ubiquitous in applications. However, the effect of such an operation remains largely unknown, especially in terms of false discovery proportion (FDP) and true discovery proportion (TDP). In this talk, we explore this issue in the most classical case where the null distributions are Gaussian with an unknown rescaling parameters (mean and variance) and where the Benjamini-Hochberg (BH) procedure is applied after a datarescaling step.
Keywords : Benjamin-Hochberg procedure; false discovery rate; minimax; multiple testing; robust theory; sparsity
MSC Codes :
62C20
- Minimax procedures
62G10
- Nonparametric hypothesis testing
62G30
- Order statistics; empirical distribution functions
Additional resources :
https://www.cirm-math.fr/RepOrga/2146/Slides/Roquain.pdf
Language : English
Available date : 15/06/2020
Conference Date : 03/06/2020
Subseries : Research talks
arXiv category : Statistics Theory
Mathematical Area(s) : Probability & Statistics
Format : MP4 (.mp4) - HD
Video Time : 00:32:25
Targeted Audience : Researchers
Download : https://videos.cirm-math.fr/2020-06-03_Roquain.mp4
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Event Title : Mathematical Methods of Modern Statistics 2 / Méthodes mathématiques en statistiques modernes 2 Dates : 15/06/2020 - 19/06/2020
Event Year : 2020
Event URL : https://www.cirm-math.com/cirm-virtual-...
DOI : 10.24350/CIRM.V.19642603
Cite this video as:
(2020). Sparse multiple testing: can one estimate the null distribution ?. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19642603
URI : http://dx.doi.org/10.24350/CIRM.V.19642603
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See Also
Bibliography
- ROQUAIN, Etienne et VERZELEN, Nicolas. On using empirical null distribution in Benjamini-Hochberg procedure. arXiv preprint arXiv:1912.03109, 2019. - https://arxiv.org/abs/1912.03109
- CARPENTIER, Alexandra, DELATTRE, Sylvain, ROQUAIN, Etienne, et al. Estimating minimum effect with outlier selection. arXiv preprint arXiv:1809.08330, 2018. - https://arxiv.org/abs/1809.08330