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Time-series forecasting on S&P 500 monthly log-returns (h=3)

16.7CRPS Skill ScoreGARCH(1,1)
-0.6652963.8430028.351312.859598Jun 29, 2026

Evaluation results

MethodLinks
GARCH(1,1)Head=gauss2026.0616.7
GARCH(1,1)Head=point2026.0616
GARCH(1,1)Head=gmm2026.0610.3
ARIMAHead=gauss2026.068.6
ARIMAHead=point2026.066.8
ARIMAHead=gmm2026.060.3
GARCH(1,1)gmmHead=GMM2026.060.1033
N-BEATS (deep)Head=GMM2026.060.0461
TimesNet (deep)Head=GMM2026.060.041
iTransformer (deep)Head=GMM2026.060.0294
DLinear (deep)Head=GMM2026.060.0207
ARIMAgmmHead=GMM2026.060.0026