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Characterize attainable power when controlling a specified family-wise error rate or false-discovery rate across many dependent tests, under explicitly stated dependence assumptions.
Develop calibrated ways to combine dependent p-values when their joint dependence is only partially known, and characterize the resulting validity–power tradeoffs.
TheoremDB P3152 · statistics
Statistical Distribution Theory · ICM 1928: Ueber eine Eigenschaft des Gaussschen Fehlergesetzes
Design of Statistical Experiments · ICM 1970: Optimum experimental designs
Design of Statistical Experiments · ICM 1970: Optimum experimental designs
Statistical Decision Theory · ICM 2022: Theory of adaptive estimation
Multivariate Analysis · ICM 2022: Mean estimation in high dimension
Multivariate Analysis · ICM 2022: Mean estimation in high dimension
Foundational Topics in Statistics · ICM 2022: From statistical to causal learning
Statistics on Algebraic and Topological Structures · ICM 2018: Mean field asymptotics in high-dimensional statistics From exact results to efficient algorithms
Linear Inference and Regression · ICM 2018: Mean field asymptotics in high-dimensional statistics From exact results to efficient algorithms
Linear Inference and Regression · ICM 2018: Mean field asymptotics in high-dimensional statistics From exact results to efficient algorithms
Statistics on Algebraic and Topological Structures · ICM 2018: Mean field asymptotics in high-dimensional statistics From exact results to efficient algorithms
Statistical Distribution Theory · ICM 2010: Stein's Method, Self-normalized Limit Theory and Applications
Nonparametric Inference · ICM 2010: Bayesian Regularization
Statistical Decision Theory · ICM 1994: Abstract statistical estimation and modern harmonic analysis
Nonparametric Inference · ICM 1986: A Nonparametric Framework for Statistical Modelling
Nonparametric Inference · ICM 1986: A Nonparametric Framework for Statistical Modelling
Nonparametric Inference · ICM 1986: A Nonparametric Framework for Statistical Modelling
Nonparametric Inference · ICM 1986: A Nonparametric Framework for Statistical Modelling
Foundational Topics in Statistics · ICM 1974: Some Mathematical Problems Arising in Robust Statistics
Nonparametric Inference · ICM 1974: Some Mathematical Problems Arising in Robust Statistics
Statistical Distribution Theory · ICM 1954: A., On the theory of order statistics
Find a tight, instance-dependent characterization of the number of samples needed to test equality to a known distribution.