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Scoring Probability Forecasts with the Brier Rule: Provenance and Evidence‌‌​⁠‌​‌⁠‌​⁠​​⁠​‌​​​‌​‌‍​​⁠​‍​‍​‍‍‍‍‍​‌⁠⁠​⁠⁠‌‌‌‍‍‍‍​⁠‍​‌‌‌​‌​‍‍‌‌

Original score

Glenn W. Brier (1950), Verification of Forecasts Expressed in Terms of Probability, Monthly Weather Review, 78(1), 1–3. Original journal record. The original summed-category convention differs by a factor of two from common one-component binary scoring.‌‌​⁠‌​‌⁠‌​⁠​​⁠​‌​​​‌​‌‍​​⁠​‍​‍​‍‍‍‍‍​‌⁠⁠​⁠⁠‌‌‌‍‍‍‍​⁠‍​‌‌‌​‌​‍‍‌‌

Proper-score framework

Tilmann Gneiting and Adrian E. Raftery (2007), Strictly Proper Scoring Rules, Prediction, and Estimation, Journal of the American Statistical Association, 102(477), 359–378. Author manuscript.‌‌​⁠‌​‌⁠‌​⁠​​⁠​‌​​​‌​‌‍​​⁠​‍​‍​‍‍‍‍‍​‌⁠⁠​⁠⁠‌‌‌‍‍‍‍​⁠‍​‌‌‌​‌​‍‍‌‌

Adaptation boundary

The input schema and audit procedure are pack implementations. The helper computes mathematical scores; it does not establish adjudication quality or a professional designation.

Bibliographic grounding checked on 2026-09-15. Access may vary. Full papers are linked, not redistributed; these instructions and examples are newly written.