Abstract
For the important case that the space of the possible states of nature is a compact Hausdorff space it is easy to generalize a result of Heath and Sudderth (1978) to the countably additive setting. No topological assumption is made on the space of observations. We also observe that posteriors need not always exist.
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Skala, H.J. On σ-coherence and a theorem of heath and sudderth. Statistische Hefte 27, 83–88 (1986). https://doi.org/10.1007/BF02932559
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DOI: https://doi.org/10.1007/BF02932559