Beliefs about beliefs, a theory for stochastic assessments of subjective probabilities |
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Authors: | J M Dickey |
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Affiliation: | (1) University College of Wales, Aberystwyth |
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Abstract: | Summary Parameterized families of subjective probability distributions can be used to great advantage to model beliefs of experts,
especially when such models include dependence on concomitant variables. In one such model, probabilities of simple events
can be expressed in loglinear form. In another, a generalization of the multivariatet distribution has concomitant variables entering linearly through the location vector. Interactive interview methods for assessing
this second model and matrix extensions thereof were given in recent joint work of the author with A.P. Dawid, J.B. Kadane
and others. In any such verbal assessment method, elicited quantiles must be fitted by subjective probability models. The
fitting requires the use of a further probability model for errors of elicitation. This paper gives new theory relating the
form of the distribution of elicited probabilities and elicited quantiles to the form of the subjective probability distribution.
The first and second order moment structures are developed to permit generalized least squares fits.
Present affiliation: State University of New York, Albany |
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Keywords: | Subjective Probability Probability Modeling Probability Assessment Probability Elicitation Stochastic Elicitations |
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