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arXiv 1807.09684math.PR
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扔石头和收集骨头:寻找类泊松随机测度

Throwing Stones and Collecting Bones: Looking for Poisson-like Random Measures

Caleb Deen Bastian, Grzegorz A. Rempala

摘要:

我们表明,在广泛的一类随机计数措施,可以确定只有三个,是重新缩放的版本时,限制到一个子空间。这些是泊松,二项和负二项随机措施。我们提供了一些简单的例子,这些措施的可能应用。

英文摘要:

We show that in a broad class of random counting measures one may identify only three that are rescaled versions of themselves when restricted to a subspace. These are Poisson, binomial and negative binomial random measures. We provide some simple examples of possible applications of such measures.

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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