The Logical Postulates of Böge, Carnap and Johnson in the Context of Papangelou Processes
Journal of Theoretical Probability(2014)
摘要
We adapt Johnson’s sufficiency postulate, Carnap’s prediction invariance postulate and Böge’s learn-merge invariance to the context of Papangelou processes and discuss equivalence of their generalizations, in particular their weak and strong generalizations. This discussion identifies a condition which occurs in the construction of Papangelou processes. In particular, we show that these generalizations characterize classes of Poisson and Pólya point processes.
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关键词
Point process,Papangelou process,Sufficiency postulate,Prediction invariance,Learn-merge invariance,Characterization of Poisson and Pólya processes
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