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For all F1, F2 ∈ P1(R), y ∈ R, we have |S(F1, y) − S(F2, y)| ≤2W1(F1, F2) This Lemma states that the CRPS is 2-Lipschitz in the first variable with respect to the Wasserstein distance W1 · 2019

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Distributional regression: CRPS-error bounds for model fitting, model selection and convex aggregation

math.ST · 2024-11-21 · conditional · novelty 6.0

The paper derives non-asymptotic oracle inequalities for CRPS-based model fitting, model selection, and convex aggregation in distributional regression.

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Distributional regression: CRPS-error bounds for model fitting, model selection and convex aggregation math.ST · 2024-11-21 · conditional · none · ref 2
The paper derives non-asymptotic oracle inequalities for CRPS-based model fitting, model selection, and convex aggregation in distributional regression.

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