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The marginal likelihood is given by π(y) = Z ∞ −∞ N (y | β, σ2)πHS(β)dβ = 1√ 2πσ 2 Z ∞ 0 1√ 1 + ν2 e − y2 2σ2 (1+ν2 ) p(ν)dν = 2 π √ 2πσ 2 Z ∞ 0 e − y2 2σ2 (1+ν2 ) 1 (1 + ν2)3/2 dν

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stat.ML 1

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2025 1

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CONDITIONAL 1

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FAB-PPI: Frequentist, Assisted by Bayes, Prediction-Powered Inference

stat.ML · 2025-02-04 · conditional · novelty 6.0

FAB-PPI applies frequentist-assisted-by-Bayes confidence regions to the PPI rectifier, yielding shorter asymptotic confidence intervals when predictions are accurate and reverting to standard PPI under a horseshoe prior when they are not.

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  • FAB-PPI: Frequentist, Assisted by Bayes, Prediction-Powered Inference stat.ML · 2025-02-04 · conditional · none · ref 1

    FAB-PPI applies frequentist-assisted-by-Bayes confidence regions to the PPI rectifier, yielding shorter asymptotic confidence intervals when predictions are accurate and reverting to standard PPI under a horseshoe prior when they are not.