Testing with \(\mathrm{p}^*\)-values: between p-values, mid p-values, and e-values
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Publication:6201852
DOI10.3150/23-bej1633arXiv2010.14010OpenAlexW4391458257MaRDI QIDQ6201852
Publication date: 26 March 2024
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.14010
Inequalities; stochastic orderings (60E15) Parametric hypothesis testing (62F03) Hypothesis testing in multivariate analysis (62H15) Bayesian inference (62F15) Paired and multiple comparisons; multiple testing (62J15)
Cites Work
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- New FDR bounds for discrete and heterogeneous tests
- Test martingales, Bayes factors and \(p\)-values
- Sum of arbitrarily dependent random variables
- E-values: calibration, combination and applications
- Stochastic orders
- Multiple test functions and adjusted \(p\)-values for test statistics with discrete distributions
- Posterior predictive \(p\)-values
- Some probability inequalities for ordered MTP\(_2\) random variables: a proof of the Simes conjecture
- The control of the false discovery rate in multiple testing under dependency.
- A stochastic process approach to false discovery control.
- Time-uniform, nonparametric, nonasymptotic confidence sequences
- Testing randomness online
- Admissible ways of merging \(p\)-values under arbitrary dependence
- Interactive martingale tests for the global null
- A unified treatment of multiple testing with prior knowledge using the p-filter
- Mathematical Risk Analysis
- Cauchy Combination Test: A Powerful Test With Analytic p-Value Calculation Under Arbitrary Dependency Structures
- Random variables with maximum sums
- Multiple Hypotheses Testing with Weights
- An improved Bonferroni procedure for multiple tests of significance
- A Theory for Measures of Tail Risk
- Halving the Bounds for the Markov, Chebyshev, and Chernoff Inequalities Using Smoothing
- Algorithmic Learning in a Random World
- Universal inference
- Combining p-values via averaging
- The harmonic mean p -value for combining dependent tests
- Sums of standard uniform random variables
- Meta-Analysis of Mid-p-Values: Some New Results based on the Convex Order
- The Existence of Probability Measures with Given Marginals
- Multiple testing for exploratory research
- Testing for outliers with conformal p-values
- Trade-off Between Validity and Efficiency of Merging P-Values Under Arbitrary Dependence
- Confidence and discoveries with \(e\)-values