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Statistical Methods for Fuzzy Data by Reinhard Viertl

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8

Fuzzy probability distributions

Standard probability densities are usually motivated by histograms. Based on fuzzy histograms from Chapter and by the fuzziness of a priori distributions in Bayesian inference a generalization of probability distributions is necessary. Moreover, a generalized law of large numbers for fuzzy valued sequences of random variables leads to so-called fuzzy probability densities.

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