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Nonconglomerative coherent conditional probabilities in statistical inference
Authors:Giulianella Coletti  Romano Scozzafava
Institution:(1) Dipartimento Matematica e Informatica, University of Perugia, Perugia, Italy;(2) Dipartimento Metodi e Modelli Matematici, University of “La Sapienza”, Roma, Italy
Abstract:Noteworthy connections among conglomerability, countable additivity and coherence are discussed in detail, reaching the conclusion that nonconglomerable conditional probabilities must not be doomed and play a significant role in statistical inference. Extended and updated version of a contributed paper presented at the International Conference on “Information Processing and Management of Uncertainty in knowledge-based systems”, IPMU 2004, Perugia, Italy.
Keywords:Coherent conditional probabilities  Conglomerability  Stochastic independence
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