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ISIPTA
2003
IEEE
13 years 9 months ago
The Maximal Variance of Fuzzy Interval
The paper gives the solution of calculating maximal variance of fuzzy interval in the scope of the theory of imprecise probabilities. As it appears, this problem is more difficul...
Andrew G. Bronevich
ISIPTA
2003
IEEE
130views Mathematics» more  ISIPTA 2003»
13 years 9 months ago
Some Results on Generalized Coherence of Conditional Probability Bounds
Based on the coherence principle of de Finetti and a related notion of generalized coherence (g-coherence), we adopt a probabilistic approach to uncertainty based on conditional p...
Veronica Biazzo, Angelo Gilio, Giuseppe Sanfilippo
ISIPTA
2003
IEEE
13 years 9 months ago
How to Deal with Partially Analyzed Acts? A Proposal
In some situations, a decision is best represented by an incompletely analyzed act: conditionally to a certain event, the consequences of the decision on sub-events are perfectly ...
Jean-Yves Jaffray, Meglena Jeleva
ISIPTA
2003
IEEE
126views Mathematics» more  ISIPTA 2003»
13 years 9 months ago
Robust Estimators under the Imprecise Dirichlet Model
Walley’s Imprecise Dirichlet Model (IDM) for categorical data overcomes several fundamental problems which other approaches to uncertainty suffer from. Yet, to be useful in prac...
Marcus Hutter
ISIPTA
2003
IEEE
119views Mathematics» more  ISIPTA 2003»
13 years 9 months ago
Analysis of Local or Asymmetric Dependencies in Contingency Tables using the Imprecise Dirichlet Model
We consider the statistical problem of analyzing the association between two categorical variables from cross-classified data. The focus is put on measures which enable one to st...
Jean-Marc Bernard
ISIPTA
2003
IEEE
13 years 9 months ago
Bounding Analysis of Lung Cancer Risks Using Imprecise Probabilities
For cancers with more than one risk factor, the sum of probabilistic estimates of the number of cancers attributable to each individual factor may exceed the total number of cases...
Minh Ha-Duong, Elizabeth Casman, M. Granger Morgan
ISIPTA
2003
IEEE
13 years 9 months ago
Bayesian Robustness with Quantile Loss Functions
José Jablo Arias, Javier Hernández, ...
ISIPTA
2003
IEEE
120views Mathematics» more  ISIPTA 2003»
13 years 9 months ago
Towards a Chaotic Probability Model for Frequentist Probability: The Univariate Case
We adopt the same mathematical model of a set M of probability measures as is central to the theory of coherent imprecise probability. However, we endow this model with an objecti...
Pablo Ignacio Fierens, Terrence L. Fine
ISIPTA
2003
IEEE
13 years 9 months ago
Geometry of Upper Probabilities
In this paper we adopt the geometric approach to the theory of evidence to study the geometric counterparts of the plausibility functions, or upper probabilities. The computation ...
Fabio Cuzzolin