| Abstract |
In this paper we define randomized filtered experiments with an abstract parameter space and analyze some properties of this concept. To that end we introduce three special probability measures that dominate a given expirement, called geodesic measure, arithmetic and geometric mean measures, and a generalized Hellinger process for an abstract family of probability measures. We also introduce and analyze the Kullback-Leibler information process of a posterior distribution on the parameter space with respect to a prior and give an expression for this in terms of the concepts given above.
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