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Decision Making with Imprecise Probabilities

1994
In many decision problems the only information available about a random event is expert opinion. The theory of imprecise probabilities, a generalization of standard subjective probability, allows us to deal with such information. In this paper the use of imprecise probabilities is discussed, with emphasis on elicitation and combination of opinions and ...
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Probability Inequalities with Imprecise Previsions

We investigate how various well known probability inequalities extend to lower and upper previsions. Our focus is especially on Markov’s, Bhatia-Davis, Jensen’s and Cantelli’s inequalities. In all such cases, imprecise versions of these inequalities are available even requiring the weak consistency notion of 2-coherence, which implies that they obtain ...
Pelessoni, Renato, Vicig, Paolo
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Algorithms for Imprecise Probabilities

2000
This paper reviews local computation algorithms to calculate with imprecise probabilities. Most of the existing work on imprecise probabilities has focused on the particular case of interval probabilities [Amarger et al., 1991; de Campos and Huete, 1993; de Campos et al., 1994; Dubois and Prade, 1994; Fagin and Halpern, 1991; Fertig and Breese, 1990 ...
Andrés Cano, Serafín Moral
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Inferring beliefs as subjectively imprecise probabilities

Theory and Decision, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andersen, Steffen   +4 more
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Aggregation of Imprecise Probabilities

1998
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 sources. Special attention will be paid to the particular
Serafín Moral, José del Sagrado
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Imprecise and indeterminate probabilities

Risk Decision and Policy, 2000
Bayesian advocates of expected utility maximization use sets of probability distributions to represent very different ideas. Strict Bayesians insist that probability judgment is numerically determinate even though the agent can represent such judgments only in imprecise terms.
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Imprecise and Indeterminate Probabilities

2017
This chapter offers a discussion of imprecision and indeterminacy in probability values; that is, there is a focus on situations where one does not attach a single real number to every possible event. There are several theories and mathematical models regarding such imprecise and indeterminate probabilities.
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Insurance with Imprecise Probabilities

SSRN Electronic Journal, 2010
The purpose of this paper is to demonstrate how the imprecision of probabilities and background risk can motivate the purchase of insurance by a risk-neutral profit-maximising agent. Without insurance, the return from a profitable project may not be known with sufficient precision to justify the investment.
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Imprecise probability in epistemology

2017
There is a growing interest in the foundations as well as the application of imprecise probability in contemporary epistemology. This dissertation is concerned with the application. In particular, the research presented concerns ways in which imprecise probability, i.e.
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Transformations from Imprecise to Precise Probabilities

2003
Several known procedures transforming an imprecise probability into a precise one focus on special classes of imprecise probabilities, like belief functions and 2–monotone capacities, while not addressing the more general case of coherent imprecise probabilities, as defined by Walley.
BARONI PIETRO, VICIG, PAOLO
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