The Logical Postulates of Böge, Carnap and Johnson in the Context of Papangelou Processes

Mathias Rafler () and Hans Zessin ()
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Mathias Rafler: TU München, Zentrum Mathematik M5
Hans Zessin: Fakultät für Mathematik der Universität Bielefeld

Journal of Theoretical Probability, 2015, vol. 28, issue 4, 1431-1446

Abstract: Abstract 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.

Keywords: Point process; Papangelou process; Sufficiency postulate; Prediction invariance; Learn-merge invariance; Characterization of Poisson and Pólya processes; 60G55 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10959-014-0543-2

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