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Imprecise Probability
, 2006
"... The term imprecise probability refers to a collection of theories which describe probabilities in an imprecise way. The following theories ordered in increasing generality belong to the concept of imprecise probability [8]. ..."
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The term imprecise probability refers to a collection of theories which describe probabilities in an imprecise way. The following theories ordered in increasing generality belong to the concept of imprecise probability [8].
On the Robustness of Imprecise Probability Methods
 8TH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS, COMPIÈGNE, FRANCE
, 2013
"... Imprecise probability methods are often claimed to be robust, or more robust than conventional methods. In particular, the higher robustness of the resulting methods seems to be the principal argument supporting the imprecise probability approach to statistics over the Bayesian one. The goal of the ..."
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Cited by 1 (1 self)
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Imprecise probability methods are often claimed to be robust, or more robust than conventional methods. In particular, the higher robustness of the resulting methods seems to be the principal argument supporting the imprecise probability approach to statistics over the Bayesian one. The goal
On the Use of Imprecise Probabilities in Reliability
 Quality and Reliability Engineering International
, 2004
"... Theory of imprecise probability generalizes classical probability theory, by assigning to each event an interval instead of a single number. In this paper, we briefly discuss this generalization and some recently suggested applications of imprecise probabilities in reliability. We also comment on ..."
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Cited by 11 (5 self)
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Theory of imprecise probability generalizes classical probability theory, by assigning to each event an interval instead of a single number. In this paper, we briefly discuss this generalization and some recently suggested applications of imprecise probabilities in reliability. We also comment
Algorithms for Imprecise Probabilities
"... This paper deals with algorithms for efficient calculations with imprecise probabilities. All of them are based on local computation techniques. The algorithms are classified according to the underlying independence assumptions (including the case of nonindependence). For each situation, the main c ..."
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Cited by 6 (1 self)
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This paper deals with algorithms for efficient calculations with imprecise probabilities. All of them are based on local computation techniques. The algorithms are classified according to the underlying independence assumptions (including the case of nonindependence). For each situation, the main
Computation with imprecise probabilities
 in Proceedings of the 12th International Conference Information Processing and Management of Uncertainty in Knowledgebased Systems
, 2008
"... An imprecise probability distribution is an instance of secondorder uncertainty, that is, uncertainty about uncertainty, or uncertainty for short. Another instance is an imprecise possibility distribution. Computation with imprecise probabilities is not an academic exercise—it is a bridge to real ..."
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Cited by 1 (0 self)
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An imprecise probability distribution is an instance of secondorder uncertainty, that is, uncertainty about uncertainty, or uncertainty for short. Another instance is an imprecise possibility distribution. Computation with imprecise probabilities is not an academic exercise—it is a bridge
The aggregation of imprecise probabilities
, 2002
"... Two methods are presented for the aggregation of imprecise probabilities elicited from a group of experts in terms of betting rates. In the rst method, the experts bet with a common opponent subject to limits on their personal betting stakes, and their individual and aggregate beliefs are represente ..."
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Cited by 14 (2 self)
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Two methods are presented for the aggregation of imprecise probabilities elicited from a group of experts in terms of betting rates. In the rst method, the experts bet with a common opponent subject to limits on their personal betting stakes, and their individual and aggregate beliefs
Quantum Mechanics and imprecise probability
, 2007
"... An extension of the Born rule, the quantum typicality rule, has recently been proposed [B. Galvan: Found. Phys. 37, 15401562 (2007)]. Roughly speaking, this rule states that if the wave function of a particle is split into nonoverlapping wave packets, the particle stays approximately inside the su ..."
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Cited by 2 (1 self)
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the support of one of the wave packets, without jumping to the others. In this paper a formal definition of this rule is given in terms of imprecise probability. An imprecise probability space is a measurable space (Ω, A) endowed with a set of probability measures P. The quantum formalism and the quantum
Validation of imprecise probability models
"... Abstract: Validation is the assessment of the match between a model’s predictions and any empirical observations relevant to those predictions. This comparison is straightforward when the data and predictions are deterministic, but is complicated when either or both are expressed in terms of uncerta ..."
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Cited by 4 (2 self)
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of uncertain numbers (i.e., intervals, probability distributions, pboxes, or more general imprecise probability structures). There are two obvious ways such comparisons might be conceptualized. Validation could measure the discrepancy between the shapes of the uncertain numbers representing prediction
Aggregation of Imprecise Probabilities
, 1997
"... . Methods to aggregate convex sets of probabilities are proposed. Source reliability is taken into account by transforming the given information and making it less precise. An important property of the aggregation will be that the precision of the result will depend on the initial compatibility of s ..."
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Cited by 13 (1 self)
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. Methods to aggregate convex sets of probabilities are proposed. Source reliability is taken into account by transforming the given information and making it less precise. An important property of the aggregation will be that the precision of the result will depend on the initial compatibility
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