Abstract
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.
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References
Agnew, C. E., 1985, Multiple probability assessments by dependent experts. J. Amer. Statist. Assoc. 80 ,343–347.
Armstrong, J. S., 1984, Forecasting by extrapolation: conclusions from 25 years of research, Interfaces 14 (6) ,52–66.
Chang, K., 1985, “Combination of Opinions: The Expert Problem and the Group Consensus Problem,” Ph.D. Dissertation, University of California, Berkeley, CA.
Clemen, R. T., 1985, Extraneous expert information, J. Forecast. 4 ,329–348.
Clemen, R. T., 1987, Combining overlapping information, Mgmt. Sci. ,in press.
Clemen, R. T., and Murphy, A. H., 1986a, Objective and subjective precipitation probability forecasts: statistical analysis of some interrelationships, Weather and Forecasting 1, 56–65.
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.
Clemen, R. T., and Winkler, R. L., 1986, Combining economic forecasts, J. Bus. Econ. Stat. 4 ,39–46.
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.
DeGroot, M. H., and Fienberg, S. E., 1983, The comparison and evaluation of forecasters, The Statistician 32 ,12–22.
French, S., 1980, Updating of belief in the light of someone else’s opinion, J. R. Statist. Soc. Ser. A 143 ,43–48.
French, S., 1981, Consensus of opinion, Eur. J. Oper. Res. 7 ,332–340.
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.
Genest, C., and Schervish, M. J, 1985, Modeling expert judgments for Bayesian updating, Ann. Stat. 13 ,1198–1212.
Genest, C., and Zidek, J. V., 1986, Combining probability distributions: a critique and an annotated bibliography, Stat. Sci . 1 ,114–148.
Lindley, D. V., 1982, The improvement of probability judgments, J. R. Statist. Soc. Ser. A 145 ,117–126.
Lindley, D. V., 1983, Reconciliation of probability distributions, Oper. Res. 31 ,866–880.
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.
Lindley, D. V., Tversky, A., and Brown, R. V., 1979, On the reconciliation of probability assessments, J. R. Statist. Soc. Ser. A 142 ,146–180.
Makridakis, S., and Winkler, R. L., 1983, Averages of forecasts: some empirical results, Mgmt. Sci . 29 ,987–996.
Morris, P. A., 1974, Decision analysis expert use, Mgmt. Sci . 20 ,1233–1241.
Morris, P. A., 1977, Combining expert judgments: a Bayesian approach, Mgmt. Sci . 23, 679–693.
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.
Murphy, A. H., and Sabin, T. E., 1986, Trends in the quality of National Weather Service forecasts, Weather and Forecasting 1,42–55.
Murphy, A. H., and Winkler, R. L., 1984, Probability forecasting in meteorology, J. Amer. Statist. Assoc. 79 ,489–500.
Winkler, R. L., 1981, Combining probability distributions from dependent information sources, Mgmt. Sci . 27 ,479–488.
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© 1987 Plenum Press, New York
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Clemen, R.T., Winkler, R.L. (1987). Calibrating and Combining Precipitation Probability Forecasts. In: Viertl, R. (eds) Probability and Bayesian Statistics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1885-9_10
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DOI: https://doi.org/10.1007/978-1-4613-1885-9_10
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