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arXiv 1503.02092math.PR
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威廉姆斯一致性和超越

Williams Coherence and Beyond

Renato Pelessoni, Paolo Vicig

摘要:

在本文中,我们讨论的一致性概念的威廉姆斯相干不精确的条件预测,提出了一个变种,我们称之为W-相干。结果表明,W-相干确保重要的一致性属性,是相当普遍和良好的基础。这是通过将其与替代或类似的已知和不太知名的一致性定义进行比较来完成的。这些概念的共同根源是,它们不同地扩展到不精确的主观概率的方法倡导的德Finetti。本文的分析也有助于更好地澄清这些概念中几个研究较少的方面。

英文摘要:

In this paper we discuss the consistency concept of Williams coherence for imprecise conditional previsions, presenting a variant of this notion, which we call W-coherence. It is shown that W-coherence ensures important consistency properties and is quite general and well-grounded. This is done comparing it with alternative or anyway similar known and less known consistency definitions. The common root of these concepts is that they variously extend to imprecision the subjective probability approach championed by de Finetti. The analysis in the paper is also helpful in better clarifying several little investigated aspects of these notions.

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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