Abstract
We expose a class of probabilistic models withonly two outcomes that we call interactive probabilitymodels for the analysis of data that arise in situationswhere there is influence of the measurer on the measured. We reconstruct a Borel measurecorresponding to possible sets of probabilities that arerelated to outcomes of experiments. We give threeexamples: one that corresponds to the quantum mechanical case, one to a deterministic measurement, andone to a situation where the outcome of the measurementis determined by the measurement apparatusonly.
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Aerts, S. Interactive Probability Models: Inverse Problems on the Sphere. International Journal of Theoretical Physics 37, 305–309 (1998). https://doi.org/10.1023/A:1026622919418
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DOI: https://doi.org/10.1023/A:1026622919418