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Titlebook: Soft Methods for Handling Variability and Imprecision; Didier Dubois,M. Asunción Lubiano,Olgierd Hryniewi Conference proceedings 2008 Spri

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Imprecise Probabilistic Prediction for Categorical Data: From Bayesian Inference to the Imprecise DiFrom . categorical observations, what can be predicted about the next .′ ones? We present a generalization of the Bayesian approach, the imprecise Dirichlet-multinomial model (.), which uses sets of Dirichlet-multinomial distributions to model prior ignorance. The . satisfies coherence, symmetry and several desirable invariance properties.
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Didier Dubois,M. Asunción Lubiano,Olgierd HryniewiRecent developments in Soft Computing and Statistics.Best edited papers of the 4th International Conference on Soft Methods in Probability and Statistics (SMPS’2008)
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Robert Féron: A Pioneer in Soft Methods for Probability and Statisticsbability and statistics. This short paper surveys his contributions to information theory, generalized distances, and the joint use of probability and fuzzy set theories. An extensive bibliography of his publications is provided.
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Possibility Measures in Probabilistic Inferenceies. We show that the upper envelope of the extensions of a probability on . is a possibility on the algebra generated by .. Moreover we characterize the set of possibilities obtained as extensions of a coherent probability on an arbitrary set: in particular, we find the two “extreme” (i.e., dominated and dominating) possibilities.
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Advances in Intelligent and Soft Computinghttp://image.papertrans.cn/s/image/870572.jpg
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https://doi.org/10.1007/978-3-540-85027-4Bayesian inference; Binomial distribution; Cyc; Imprecise probability; Measure; Probability theory; Random
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978-3-540-85026-7Springer-Verlag Berlin Heidelberg 2008
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Soft Methods for Handling Variability and Imprecision978-3-540-85027-4Series ISSN 1867-5662 Series E-ISSN 1867-5670
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