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ISIPTA
2003
IEEE
117views Mathematics» more  ISIPTA 2003»
14 years 4 months ago
Dynamic Programming for Discrete-Time Systems with Uncertain Gain
We generalise the optimisation technique of dynamic programming for discretetime systems with an uncertain gain function. We assume that uncertainty about the gain function is des...
Gert de Cooman, Matthias C. M. Troffaes
ISIPTA
2003
IEEE
14 years 4 months ago
Study of the Probabilistic Information of a Random Set
Given a random set coming from the imprecise observation of a random variable, we study how to model the information about the distribution of this random variable. Specifically,...
Enrique Miranda, Inés Couso, Pedro Gil
ISIPTA
2003
IEEE
104views Mathematics» more  ISIPTA 2003»
14 years 4 months ago
Nonparametric Predictive Comparison of Two Groups of Lifetime Data
We present the application of a recently introduced nonparametric predictive inferential method to compare two groups of data, consisting of observed event times and right-censori...
Frank P. A. Coolen, Ke-Jian Yan
ISIPTA
2003
IEEE
106views Mathematics» more  ISIPTA 2003»
14 years 4 months ago
Continuous Linear Representation of Coherent Lower Previsions
This paper studies the possibility of representing lower previsions by continuous linear functionals. We prove the existence of a linear isomorphism between the linear space spann...
Sebastian Maaß
ISIPTA
2003
IEEE
14 years 4 months ago
Exploring Imprecise Probability Assessments Based on Linear Constraints
For many problems there is only suf£cient prior information for a Bayesian decision maker to identify a class of possible prior distributions. In such cases it is of interest to ...
Radu Lazar, Glen Meeden
ISIPTA
2003
IEEE
14 years 4 months ago
Combining Belief Functions Issued from Dependent Sources
Dempster’s rule for combining two belief functions assumes the independence of the sources of information. If this assumption is questionable, I suggest to use the least speci...
Marco E. G. V. Cattaneo
ISIPTA
2003
IEEE
127views Mathematics» more  ISIPTA 2003»
14 years 4 months ago
Climate Projections for the 21st Century Using Random Sets
We apply random set theory to an analysis of future climate change. Bounds on cumulative probability are used to quantify uncertainties in natural and socio-economic factors that ...
Elmar Kriegler, Hermann Held
ISIPTA
2003
IEEE
14 years 4 months ago
Expected Utility with Multiple Priors
Let be a preference relation on a convex set F. Necessary and sufficient conditions are given that guarantee the existence of a set {ul} of affine utility functions on F such th...
Erio Castagnoli, Fabio Maccheroni, Massimo Marinac...
ISIPTA
2003
IEEE
147views Mathematics» more  ISIPTA 2003»
14 years 4 months ago
Reducing Uncertainty by Imprecise Judgements on Probability Distributions: Application to System Reliability
In this paper the judgement consisting in choosing a function that is believed to dominate the true probability distribution of a continuous random variable is explored. This kind...
Igor Kozine, V. Krymsky
ISIPTA
2003
IEEE
14 years 4 months ago
Relevance of Qualitative Constraints in Diagnostic Processes
This paper reviews recent results obtained in the medical diagnosis field by adding to a coherent inference process qualitative constraints. Such further considerations turn out ...
Andrea Capotorti