Subjective conditional probability and coherence principles for handling partial information.
Romano Scozzafava (1996)
Mathware and Soft Computing
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Romano Scozzafava (1996)
Mathware and Soft Computing
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Charles M. Stein (1985)
Banach Center Publications
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Mostafa K. Ardakani, Shaun S. Wulff (2014)
Discussiones Mathematicae Probability and Statistics
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Bertrand's paradox is a longstanding problem within the classical interpretation of probability theory. The solutions 1/2, 1/3, and 1/4 were proposed using three different approaches to model the problem. In this article, an extended problem, of which Bertrand's paradox is a special case, is proposed and solved. For the special case, it is shown that the corresponding solution is 1/3. Moreover, the reasons of inconsistency are discussed and a proper modeling approach is determined by...
P.-E. Doré, A. Martin, I. Abi-Zeid, A.-L. Jousselme, P. Maupin (2010)
RAIRO - Operations Research - Recherche Opérationnelle
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In this paper, we propose a new method to generate a continuous belief functions from a multimodal probability distribution function defined over a continuous domain. We generalize Smets' approach in the sense that focal elements of the resulting continuous belief function can be disjoint sets of the extended real space of dimension . We then derive the continuous belief function from multimodal probability density functions using the least commitment principle. We illustrate the approach...
J. Łąski (1976)
Applicationes Mathematicae
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C. V. Stanojević (1973)
Recherche Coopérative sur Programme n°25
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Giulianella Coletti (1996)
Mathware and Soft Computing
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In this paper we present an overview of mathematical models for handling partial entailments and their extensions in a probabilistic frame.
Melvin R. Novick, D. F. Dekeyrel, D. T. Chuang (1980)
Trabajos de Estadística e Investigación Operativa
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Novick and Lindley (1978, 1979) have dealt with the use of utility functions for applications in education and have advocated the use of the standard gamble (von Neumann and Morgenstern, 1953) elicitation procedure with the addition of coherence checking using overspecification and a least squares fit. In this procedure utilities are inferred from probability judgements offered by the assessor. This paper describes local and regional coherence procedures which seek utility coherence...
Giuliana Regoli (1996)
Mathware and Soft Computing
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Vague information can be represented as comparison of previsions or comparison of probabilities, and a robust analysis can be done, in order to make inference about some quantity of interest and to measure the imprecision of the answers. In particular, in some decision problems the answer can be unique.
Dan Sloughter (1996)
Philosophia Scientiae
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M. S. Bingham, K. R. Parthasarathy (1966-1967)
Publications mathématiques et informatique de Rennes
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Michał Baran (2004)
Applicationes Mathematicae
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The probability minimizing problem for large losses of portfolio in discrete and continuous time models is studied. This gives a generalization of quantile hedging presented in [3].