Calibrating and Combining Precipitation Probability Forecasts
Imagine a decision maker who has heard from one or more information sources regarding the probability of some future event and who desires to use this information to revise his personal beliefs concerning the event. One approach to this problem involves the decision maker treating the probabilities as data in a Bayesian inferential problem, the output of which is an updated probability regarding the event in question. The thorniest part of the Bayesian combination procedure is the assessment of a likelihood function by the decision maker to represent his beliefs regarding the quality of the information and, in the case of multiple sources, the nature of the dependence among the sources.
KeywordsMean Square Error Lead Time Cool Season National Weather Service Combine Forecast
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- Chang, K., 1985, “Combination of Opinions: The Expert Problem and the Group Consensus Problem,” Ph.D. Dissertation, University of California, Berkeley, CA.Google Scholar
- Clemen, R. T., 1987, Combining overlapping information, Mgmt. Sci. ,in press.Google Scholar
- Clemen, R. T., and Murphy, A. H., 1986b, Objective and subjective precipitation probability forecasts: improvements via calibration and combination, Weather and Forecasting 1 ,in press.Google Scholar
- DeGroot, M. H., and Fienberg, S. E., 1982, Assessing probability assessors: calibration and refinement, in: “Statistical Decision Theory and Related Topics III,” S. S. Gupta and J. O. Berger, eds., Academic Press, New York, 291–314.Google Scholar
- French, S., 1985, Group consensus probability distributions: a critical survey, in: “Bayesian Statistics 2,” J. M. Bernardo, M. H. DeGroot, D. V. Lindley, and A. F. M. Smith, eds., North Holland, Amsterdam, 183–201.Google Scholar
- Lindley, D. V., 1985, Reconciliation pf discrete probability distributions, in: “Bayesian Statistics 2,” J. M. Bernardo, M. H. DeGroot, D. V. Lindley, and A. F. M. Smith, eds., North Holland, Amsterdam, 375–390.Google Scholar
- Murphy, A. H., 1985, Probabilistic weather forecasting, in: “Probability, Statistics, and Decision Making in the Atmospheric Sciences,” A. H. Murphy and R. W. Katz, eds., Westview Press, Boulder, CO, 337–377.Google Scholar