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ISIPTA
1999
IEEE
117views Mathematics» more  ISIPTA 1999»
13 years 9 months ago
Towards a Unified Theory of Imprecise Probability
Belief functions, possibility measures and Choquet capacities of order 2, which are special kinds of coherent upper or lower probability, are amongst the most popular mathematical...
Peter Walley
ISIPTA
1999
IEEE
114views Mathematics» more  ISIPTA 1999»
13 years 9 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
101views Mathematics» more  ISIPTA 1999»
13 years 9 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
107views Mathematics» more  ISIPTA 1999»
13 years 9 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
13 years 9 months ago
Implicative Analysis for Multivariate Binary Data using an Imprecise Dirichlet Model
Bayesian implicative analysis was proposed for summarizing the association in a 22 contingency table in terms possibly asymmetrical such as, e.g., presence of feature a implies, i...
Jean-Marc Bernard