• Brier GW. 1950. Verification of forecasts expressed in terms of probability. Mon. Weather Rev. 78: 13, DOI: 10.1175/1520-0493(1950)078<0001:VOFEIT>2.0.CO;2.
  • Bröcker J. 2009. Reliability, sufficiency, and the decomposition of proper scores. Q. J. R. Meteorol. Soc. 135: 15121519, DOI: 10.1002/qj.456.
  • Bröcker J. 2011. Estimating reliability and resolution of probability forecasts through decomposition of the empirical score. Clim. Dyn. DOI: 10.1007/s00382-011-1191-1.
  • Bröcker J, Smith LA. 2007. Increasing the reliability of reliability diagrams. Weather and Forecasting 22: 651661, DOI: 10.1175/WAF993.1.
  • Brown TA. 1974. Admissible scoring systems for continuous distributions,’ Technical Note P-5235, 27 pp. The Rand Corporation: Santa Monica, CA, USA.
  • Candille G, Talagrand O. 2005. Evaluation of probabilistic prediction systems for a scalar variable. Q. J. R. Meteorol. Soc. 131: 21312150, DOI: 10.1256/qj.04.71.
  • Epstein ES. 1969. A scoring system for probability forecasts of ranked categories. J. Appl. Meteorol. 8: 985987, DOI: 10.1175/1520-0450(1969)008<0985:ASSFPF>2.0.CO;2.
  • Ferro CAT. 2007. Comparing probabilistic forecasting systems with the Brier score. Weather and Forecasting 22: 10761088, DOI: 10.1175/WAF1034.1.
  • Ferro CAT, Richardson DS, Weigel AP. 2008. On the effect of ensemble size on the discrete and continuous ranked probability scores. Meteorol. Appl. 15: 1924, DOI: 10.1002/met.45.
  • Glahn HR, Jorgensen DL. 1970. Climatological aspects of the Brier p-score. Mon. Weather Rev. 98: 136141, DOI: 10.1175/1520-0493(1970)098<0136:CAOTBP>2.3.CO;2.
  • Hersbach H. 2000. Decomposition of the continuous ranked probability score for ensemble prediction systems. Weather and Forecasting 15: 559570, DOI: 10.1175/1520-0434(2000)015<0559:DOTCRP>2.0.CO;2.
  • Hsu W, Murphy AH. 1986. The attributes diagram: a geometrical framework for assessing the quality of probability forecasts. Int. J. Forecasting 2: 285293, DOI: 10.1016/0169-2070(86)90048-8.
  • Matheson JE, Winkler RL. 1976. Scoring rules for continuous probability distributions. Management Science 22: 10871096, DOI: 10.1287/mnsc.22.10.1087.
  • Murphy AH. 1972. Scalar and vector partitions of the ranked probability score. Mon. Weather Rev. 100: 701708, DOI: 10.1175/1520-0493(1972)100<0701:SAVPOT>2.3.CO;2.
  • Murphy AH. 1973. A new vector partition of the probability score. J. Appl. Meteorol. 12: 595600, DOI: 10.1175/1520-0450(1973)012<0595:ANVPOT>2.0.CO;2.
  • Murphy AH. 1996. General decompositions of MSE-based skill scores: measures of some basic aspects of forecast quality. Mon. Weather Rev. 124: 23532369, DOI: 10.1175/1520-0493(1996)124<2353:GDOMBS>2.0.CO;2.
  • Murphy AH, Winkler RL. 1987. A general framework for forecast verification. Mon. Weather Rev. 115: 13301338, DOI: 10.1175/1520-0493(1987)115<1330:AGFFFV>2.0.CO;2.
  • Stephenson DB, Coelho CAS, Doblas-Reyes FJ, Balmaseda M. 2005. Forecast assimilation: a unified framework for the combination of multi-model weather and climate predictions. Tellus 57A: 253264, DOI: 10.1111/j.1600-0870.2005.00110.x.
  • Stephenson DB, Coelho CAS, Jolliffe IT. 2008. Two extra components in the Brier score decomposition. Weather and Forecasting 23: 752757, DOI: 10.1175/2007WAF2006116.1.
  • Toth Z, Talagrand O, Candille G, Zhu Y. 2003. Probability and ensemble forecasts. In Forecast Verification: A Practitioner's Guide in Atmospheric Science, Jolliffe IT, Stephenson DB. (eds). John Wiley & Sons: Chichester; pp. 137163.
  • Uppala SM, Kållberg PW, Simmons AJ, Andrae U, da Costa Bechtold V, Fiorino M, Gibson JK, Haseler J, Hernandez A, Kelly GA, Li X, Onogi K, Saarinen S, Sokka N, Allan RP, Andersson E, Arpe K, Balmaseda MA, Beljaars ACM, van de Berg L, Bidlot J, Bormann N, Caires S, Chevallier F, Dethof A, Dragosavac M, Fisher M, Fuentes M, Hagemann S, Hólm E, Hoskins BJ, Isaksen L, Janssen PAEM, Jenne R, McNally AP, Mahfouf J-F, Morcrette J-J, Rayner NA, Saunders RW, Simon P, Sterl A, Trenberth KE, Untch A, Vasiljevic D, Viterbo P, Woollen J. 2005. The ERA-40 re-analysis. Q. J. R. Meteorol. Soc. 131: 29613012, DOI: 10.1256/qj.04.176.
  • Young RMB. 2010. Decomposition of the Brier score for weighted forecast-verification pairs. Q. J. R. Meteorol. Soc. 136: 13641370, DOI: 10.1002/qj.641.