On the coverage probability of confidence sets based on a prior distribution
Charles M. Stein (1985)
Banach Center Publications
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Charles M. Stein (1985)
Banach Center Publications
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J. Łąski (1976)
Applicationes Mathematicae
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P.-E. Doré, A. Martin, I. Abi-Zeid, A.-L. Jousselme, P. Maupin (2011)
RAIRO - Operations Research
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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...
C. V. Stanojević (1973)
Recherche Coopérative sur Programme n°25
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Hensley, Doug (1998)
The New York Journal of Mathematics [electronic only]
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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...
Romano Scozzafava (1996)
Mathware and Soft Computing
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Boyarski, Abraham, Góra, Pawełl (2004)
Journal of Applied Mathematics and Stochastic Analysis
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M. S. Bingham, K. R. Parthasarathy (1966-1967)
Publications mathématiques et informatique de Rennes
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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.
Andrzej Kamiński (1985)
Colloquium Mathematicae
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Cenap Özel (2001)
Matematički Vesnik
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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.