Agnostic tests can control the type I and type II errors simultaneously

DOI10.1214/19-BJPS431zbMath1445.62009arXiv1805.04620MaRDI QIDQ783299

Rafael Izbicki, Victor Coscrato, Rafael B. Stern

Publication date: 12 August 2020

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04620

zbMATH Keywords

hypothesis testuniformly most powerful testslogical consistencythree-decision problem

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Foundations and philosophical topics in statistics (62A01) Compound decision problems in statistical decision theory (62C25)

Uses Software

• BayesFactor

Cites Work

• Symmetry, invariance and ontology in physics and statistics
• Classification with confidence
• Modes of Parametric Statistical Inference
• Tests of statistical hypotheses and their use in studies of natural phenomena
• Mathematical Statistics
• Continuous versions of Haack’s puzzles: equilibria, eigen-states and ontologies
• Logical consistency in simultaneous statistical test procedures
• Bayes Factors
• Logically-consistent hypothesis testing and the hexagon of oppositions
• Least Ambiguous Set-Valued Classifiers With Bounded Error Levels
• Testing Statistical Hypotheses
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