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arXiv 1306.1510math.PRmath.STstat.TH
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在帕潘吉鲁过程的背景下Böge,Carnap和Johnson的逻辑假设

The logical postulates of Böge, Carnap and Johnson in the context of Papangelou processes

Mathias Rafler, Hans Zessin

摘要:

我们适应约翰逊的充分性假设,卡尔纳普的预测不变性假设和博格的学习合并不变性的上下文中的Papangelou过程和讨论等价的推广,特别是他们的弱和强的推广。这一讨论确定了一个条件,发生在建设的Papangelou过程。特别是,我们表明,这些推广的特点类泊松和Pólya点过程。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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