Abstract:We propose a new, more general definition of extended probability measures. We study their properties and provide a behavioral interpretation. We use them in an inference procedure, whose environment is canonically represented by the probability space pΩ, F , P q, when both P and the composition of Ω are unknown. We develop an ex ante analysis -taking place before the statistical analysis requiring knowledge of Ω -in which we progressively learn the true composition of Ω. We describe how to update extended pro… Show more
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