Titlebook: Soft Methods in Probability, Statistics and Data Analysis; Przemysław Grzegorzewski,Olgierd Hryniewicz,María Conference proceedings 2002

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1867-5662 theories, this text brings together experts representing different approaches used in soft probability, statistics and data analysis.978-3-7908-1526-9978-3-7908-1773-7Series ISSN 1867-5662 Series E-ISSN 1867-5670

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Upper Probabilities and Selectors of Random Setsr, we model the knowledge on both the probability of an event and the probability distribution of the original random variable. Some characterizations and examples are given for the case of a finite final space, and the main difficulties for the infinite case are commented.

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Lower Previsions for Unbounded Random Variablesitions for avoiding sure loss, coherence and linearity, we construct a natural extension, and we suggest a way to generalise some of the more advanced topological results from the existing theory of lower previsions.

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Imprecise Calculation with the Qualitative Information about Probability Distributionskewness, variance, and unimodality. It is shown how this information can be involved into the natural extension, which is the main tool for dealing with imprecise data in the framework of imprecise probabilities. Numerical examples illustrate the proposed approach.

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Didier Dubois,Henri Pradelity. In other areas, he discusses basic modelling concepts and provides further references as needed. He also provides even closer links between models and experimental data throughout the tex978-1-4757-7870-0978-0-387-22438-1Series ISSN 0939-6047 Series E-ISSN 2196-9973

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