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Aggregating opinions through logarithmic pooling

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References

  • Aczél, Janós: 1966, Lectures on Functional Equations and their Applications, Academic Press, New York.

    Google Scholar 

  • Aczél, Janós and Saaty, Thomas L.: 1983, ‘Procedures for synthesizing ratio judgements’, J. Math. Psych. 27 (pages to appear).

  • Bernardo, José M.: 1979, ‘Expected information as expected utility’, Ann. Statist. 7, 686–690.

    Google Scholar 

  • Bordley, Robert F.: 1982, ‘A multiplicative formula for aggregating probability assessments’, Manag. Sci. 28, 1137–1148.

    Google Scholar 

  • Bordley, Robert F. and Wolff, Ronald W.: 1981, ‘On the aggregation of individual probability estimates’, Manag. Sci. 27, 959–964.

    Google Scholar 

  • de Finetti, Bruno: 1954, ‘Media di decisioni e media di opinioni’, Bull. Inst. Inter. Statist. 34, 144–157.

    Google Scholar 

  • de Finetti, Bruno: 1970, Teoria delle probabilità, Giulio Einaudi editore, Torino.

    Google Scholar 

  • Fine, Terrence L.: 1973, Theories of Probability, Academic Press, New York.

    Google Scholar 

  • Fisher, Sir Ronald A.: 1932, Statistical Methods for Research Workers (4th edition). Oliver & Boyd, London.

    Google Scholar 

  • Genest, Christian: 1984, ‘A characterization theorem for externally Bayesian groups’, Ann. Statist. 12 (pages to appear).

  • Kraft, C. H., Pratt, J. W. & Seidenberg, A.: 1959, ‘Intuitive probability on finite sets’, Ann. Math. Statist. 30, 408–419.

    Google Scholar 

  • Lindley, Dennis V.: 1982, ‘Scoring rules and the inevitability of probability (with discussion)’, Int. Statist. Review 50, 1–26.

    Google Scholar 

  • Madansky, Albert: 1964, Externally Bayesian Groups, RM-4141-PR, The Rand Corporation. Santa Monica, CA.

    Google Scholar 

  • McConway, Kevin J.: 1978, The combination of experts' opinions in probability assessments: some theoretical considerations, Doctoral dissertation; University College London.

    Google Scholar 

  • McConway, Kevin J.: 1981, ‘Marginalization and linear opinion pools’, J. Amer. Statist. Assoc. 76, 410–414.

    Google Scholar 

  • Nash, John F. Jr.: 1950, ‘The bargaining problem’, Econometrica 18, 155–162.

    Google Scholar 

  • Savage, Leonard J.: 1971, ‘Elicitation of personal probabilities and expectations’, J. Amer. Statist. Assoc. 66, 783–801.

    Google Scholar 

  • Schmitt, Frederick F.: ‘Consensus, respect, and weighted averaging’, Synthese (to appear).

  • Smith, Cedric A. B.: 1961, ‘Consistency in statistical inference and decision’, J. R. Statist. Soc. Series B, 23, 1–37.

    Google Scholar 

  • Stone, Mervyn: 1961, ‘The linear opinion pool’, Ann. Math. Statist. 32, 1339–1342.

    Google Scholar 

  • Wagner, Carl: 1982, ‘Allocation, Lehrer models, and the consensus of probabilities’, Theory and Decision 14, 207–220.

    Google Scholar 

  • Weerahandi, Samaradasa and Zidek, James V.: 1981, ‘Multi-Bayesian statistical decision Theory’, J. R. Statist. Soc. Series A, 144, 85–93.

    Google Scholar 

  • Winkler, Robert L.: 1968, ‘The consensus of subjective probability distributions’, Manag. Sci. 15, B61-B75.

    Google Scholar 

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Genest, C., Weerahandi, S. & Zidek, J.V. Aggregating opinions through logarithmic pooling. Theor Decis 17, 61–70 (1984). https://doi.org/10.1007/BF00140056

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