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ISIPTA
1999
IEEE
115views Mathematics» more  ISIPTA 1999»
13 years 11 months ago
The Aggregation of Imprecise Probabilities
Two methods are presented for the aggregation of imprecise probabilities elicited from a group of experts in terms of betting rates. In the
Robert Nau
ISIPTA
1999
IEEE
13 years 11 months ago
Examples of Independence for Imprecise Probabilities
In this paper we try to clarify the notion of independence for imprecise probabilities. Our main point is that there are several possible definitions of independence which are app...
Inés Couso, Serafín Moral, Peter Wal...
ISIPTA
1999
IEEE
13 years 11 months ago
Upper Probabilities and Additivity
Massimo Marinacci
ISIPTA
1999
IEEE
114views Mathematics» more  ISIPTA 1999»
13 years 11 months ago
Lower Desirability Functions: A Convenient Imprecise Hierarchical Uncertainty Model
I introduce and study a fairly general imprecise secondorder uncertainty model, in terms of lower desirability. A modeller's lower desirability for a gamble is defined as her...
Gert De Cooman
ISIPTA
1999
IEEE
13 years 11 months ago
Treatment Choice Under Ambiguity Induced by Inferential Problems
Inferential problems that arise in the empirical analysis oftreatmentresponseinduceambiguityabouttheidentity of optimal treatment rules. This paper describes a research program th...
Charles F. Manski
ISIPTA
1999
IEEE
107views Mathematics» more  ISIPTA 1999»
13 years 11 months ago
Imprecise and Indeterminate Probabilities
Bayesian advocates of expected utility maximization use sets of probability distributions to represent very different ideas. Strict Bayesians insist that probability judgment is n...
Isaac Levi
ISIPTA
1999
IEEE
101views Mathematics» more  ISIPTA 1999»
13 years 11 months ago
Open-frame Dempster Conditioning for Incomplete Interval Probabilities
The second author has put forward a theory of incomplete interval probabilities meant to give a common framework to both interval probabilities and openframe bodies of evidence, a...
Paola Castellan, Andrea Sgarro
ISIPTA
1999
IEEE
13 years 11 months ago
Modeling Ellsberg's Paradox in Vague-Vague Cases
We explore a generalization of Ellsberg's paradox (2color scenario) to the Vague-Vague (V-V) case, in which neither of the probabilities (urns) is specified precisely, but on...
Karen M. Kramer, David V. Budescu
ISIPTA
1999
IEEE
13 years 11 months ago
Axiomatic Characterization of Partial Ordinal Relations
In this paper we focus on the theoretical properties of non-numerical representation of the uncertainty. As usual, this representation is realized by an ``ordinal relation'&#...
Andrea Capotorti, Barbara Vantaggi
ISIPTA
1999
IEEE
115views Mathematics» more  ISIPTA 1999»
13 years 11 months ago
Imprecise Probabilities Relating to Prior Reliability Assessments
The paper summarizes the author's experience in dealing with the Dempster-Shafer theory relating to reliability assessments and demonstrates how to make component and system ...
Igor Kozine