Likelihood-Free Hypothesis Testing

Consider the problem of binary hypothesis testing. Given Z coming from either \mathbb {P}^{\otimes m} or \mathbb {Q}^{\otimes m} , to decide between the two with small probability of error it is sufficient, and in many cases necessary, to have m\asymp 1/\varepsilon ^{2} , where \varepsilon mea...

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Bibliographic Details
Published in:IEEE transactions on information theory 2024-11, Vol.70 (11), p.7971-8000
Main Authors: Robert Gerber, Patrik, Polyanskiy, Yury
Format: Article
Language:English
Subjects:
Biological system modeling
Complexity theory
density estimation
Estimation
goodness-of-fit testing
Hypothesis testing
Large Hadron Collider
likelihood-free inference
Mathematical models
minimax sample complexity
nonparametric statistics
Testing
total variation
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