Pooling operators with the marginalization property

C Genest - Canadian Journal of Statistics, 1984 - Wiley Online Library
In this paper, we consider the problem of combining a number of opinions which have been
expressed as probability measures P1,…, Pn, over some space. It is shown that a pooling …

Marginalization and linear opinion pools

KJ McConway - Journal of the American Statistical Association, 1981 - Taylor & Francis
Suppose a decision maker has asked a group of experts to assess subjective probability
distributions over some space, and he wishes to find a consensus probability distribution as …

Aggregating opinions through logarithmic pooling

C Genest, S Weerahandi, JV Zidek - Theory and decision, 1984 - search.proquest.com
The analysis reported in this paper shares with those of McConway (1981), Bordley (1982),
Wagner (1982) and Aczél and Saaty (1983) the goal of determining a sensible formula for …

Characterization of externally Bayesian pooling operators

C Genest, KJ McConway, MJ Schervish - The Annals of Statistics, 1986 - JSTOR
When a panel of experts is asked to provide some advice in the form of a group probability
distribution, the question arises as to whether they should synthesize their opinions before …

On a pooling problem from the statistical decision viewpoint

WD Fisher - Econometrica: Journal of the Econometric Society, 1953 - JSTOR
A problem is posed of how to divide a set of K independent random variables into a smaller
number of mutually exclusive groups so that the groups are homogeneous. Following some …

The opinion pool

M Stone - The Annals of Mathematical Statistics, 1961 - JSTOR
When a group of k individuals is required to make a joint decision, it occasionally happens
that there is agreement on a utility function for the problem but that opinions differ on the …

On reaching a consensus using DeGroot's iterative pooling

GL Gilardoni, MK Clayton - The Annals of Statistics, 1993 - projecteuclid.org
We consider a group of k experts each having a subjective probability distribution for a
parameter $\theta $. If the members of the group are allowed to know the others' opinions …

Probabilistic opinion pooling

F Dietrich, C List - 2016 - academic.oup.com
Suppose several individuals (eg, experts on a panel) each assign probabilities to some
events. How can these individual probability assignments be aggregated into a single …

Probabilistic opinion pooling with imprecise probabilities

RT Stewart, IO Quintana - Journal of Philosophical Logic, 2018 - Springer
The question of how the probabilistic opinions of different individuals should be aggregated
to form a group opinion is controversial. But one assumption seems to be pretty much …

Probabilistic opinion pooling generalized. Part two: the premise-based approach

F Dietrich, C List - Social Choice and Welfare, 2017 - Springer
How can several individuals' probability functions on a given σ σ-algebra of events be
aggregated into a collective probability function? Classic approaches to this problem usually …