Abstract
This paper proposes a realistic way of assessing prior probabilistic information on population parameters in an effort of making Bayesian statistics more robust. The approach is based upon viewing the unknown parameter as a random fuzzy set. To achieve this point of view, we elaborate on the concept of coarsening schemes for gathering experts’ opinion, how to combine experts’ opinion, and how to define rigorously the concept of random fuzzy sets.
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Tran, H.D., Nguyen, P.A. (2015). Towards Generalizing Bayesian Statistics: A Random Fuzzy Set Approach. In: Huynh, VN., Kreinovich, V., Sriboonchitta, S., Suriya, K. (eds) Econometrics of Risk. Studies in Computational Intelligence, vol 583. Springer, Cham. https://doi.org/10.1007/978-3-319-13449-9_10
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DOI: https://doi.org/10.1007/978-3-319-13449-9_10
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