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ISIPTA
1999
IEEE
114views Mathematics» more  ISIPTA 1999»
13 years 8 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 8 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 8 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 8 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 8 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 8 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 8 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
ISIPTA
1999
IEEE
103views Mathematics» more  ISIPTA 1999»
13 years 8 months ago
A Review of Propagation Algorithms for Imprecise Probabilities
This paper reviews algorithms for local computation with imprecise probabilities. These algorithms try to solve problems of inference calculation of conditional or unconditional p...
Andrés Cano, Serafín Moral
ISIPTA
1999
IEEE
111views Mathematics» more  ISIPTA 1999»
13 years 8 months ago
Uncertainty and Information Measures for Imprecise Probabilities: An Overview
The paper deals with basic issues regarding the measurement of relevant types of uncertainty and uncertainty-based information in theories that represent imprecise probabilities o...
George J. Klir
ISIPTA
1999
IEEE
13 years 8 months ago
Nonlinear Filtering of Convex Sets of Probability Distributions
A solution is provided to the problem of computing a convex set of conditional probability distributions that characterize the state of a nonlinear dynamic system as it evolves in...
John Kenney, Wynn C. Stirling