Optimal testing of equivalence hypotheses

DOI10.1214/009053605000000048zbMath1072.62012arXivmath/0507415OpenAlexW3099268540MaRDI QIDQ2569233

Joseph P. Romano

Publication date: 18 October 2005

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507415

zbMATH Keywords

efficiencyuniformly most powerful testsequivalence testlarge sample theoryasymptotically maximin

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Asymptotic properties of parametric tests (62F05)

Related Items

Union-intersection permutation solution for two-sample equivalence testing, Optimal equivalence testing in exponential families, Testing identification strength, Nonparametric testing for multiple survival functions with noninferiority margins, Model equivalence tests in a parametric framework, A unified approach to permutation testing for equivalence, Cramér–von Mises distance: probabilistic interpretation, confidence intervals, and neighbourhood-of-model validation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Contributions to a general asymptotic statistical theory. With the assistance of W. Wefelmeyer
• Asymptotic expansions for general statistical models. With the assist. of W. Wefelmeyer
• Asymptotic methods in statistical decision theory
• Testing nonparametric statistical functionals with applications to rank tests
• Robust asymptotic statistics
• An unbiased test for the bioequivalence problem
• The emperor's new tests. (With comments and a rejoinder).
• Asymptotics in statistics. Some basic concepts.
• Bioequivalence trials, intersection-union tests and equivalence confidence sets. With comments and a rejoinder by the authors
• A new procedure for testing equivalence in comparative bioavailability and other clinical trials
• Multiparameter Hypothesis Testing and Acceptance Sampling
• Asymptotic Statistics