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Statistics with improper posteriors
Published 4 Dec 2018 in math.ST and stat.TH | (1812.01314v1)
Abstract: In 1933 Kolmogorov constructed a general theory that defines the modern concept of conditional probability. In 1955 Renyi fomulated a new axiomatic theory for probability motivated by the need to include unbounded measures. We introduce a general concept of conditional probability in Renyi spaces. In this theory improper priors are allowed, and the resulting posteriors can also be improper.
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