Beyond HC: more sensitive tests for rare/weak alternatives
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Publication:2215733
DOI10.1214/19-AOS1885zbMath1471.62264OpenAlexW3049649194MaRDI QIDQ2215733
Publication date: 14 December 2020
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.aos/1597370671
Parametric hypothesis testing (62F03) Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32) Asymptotic properties of parametric tests (62F05) Paired and multiple comparisons; multiple testing (62J15)
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Detection boundary for a sparse gamma scale mixture model, Fast calculation of p-values for one-sided Kolmogorov-Smirnov type statistics
Cites Work
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- Innovated higher criticism for detecting sparse signals in correlated noise
- Higher criticism for large-scale inference, especially for rare and weak effects
- On the exact Berk-Jones statistics and their \(p\)-value calculation
- A limit theorem for the maximum of normalized sums of independent random variables
- Weighted empirical and quantile processes
- Extremal theory for stochastic processes
- The asymptotic distribution of the supremum of the standardized empirical distribution function on subintervals
- Some problems of hypothesis testing leading to infinitely divisible distributions
- Some theory for Fisher's linear discriminant function, `naive Bayes', and some alternatives when there are many more variables than observations
- Adaptive detection of a signal of growing dimension. I
- Adaptive detection of a signal of growing dimension. II
- Higher criticism for detecting sparse heterogeneous mixtures.
- Asymptotics for the likelihood ratio test in a two-component normal mixture model
- On convergence rates of suprema
- Higher criticism: \(p\)-values and criticism
- Distribution-free tests for sparse heterogeneous mixtures
- Goodness-of-fit tests via phi-divergences
- The intermediates take it all: Asymptotics of higher criticism statistics and a powerful alternative based on equal local levels
- Higher criticism thresholding: Optimal feature selection when useful features are rare and weak
- Asymptotics of goodness-of-fit tests based on minimum p-value statistics
- Optimal Detection of Sparse Mixtures Against a Given Null Distribution
- Optimal Detection of Heterogeneous and Heteroscedastic Mixtures
- Rare and weak effects in large-scale inference: methods and phase diagrams
- Goodness-of-fit test statistics that dominate the Kolmogorov statistics
- Goodness-of-Fit Tests Based on Sup-Functionals of Weighted Empirical Processes
- The average likelihood ratio for large-scale multiple testing and detecting sparse mixtures
- On the Distribution of the Likelihood Ratio
- Non-asymptotic detection of two-component mixtures with unknown means