Independence for Full Conditional Measures and their Graphoid Properties

Independence for Full Conditional Measures and their Graphoid Properties
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完全条件测度的独立性及其图属性

DOI:
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发表时间:
2008
期刊:
影响因子:
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通讯作者:
Teddy Seidenfeld
Teddy Seidenfeld
中科院分区:
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文献类型:
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作者:
Fabio Gagliardi Cozman;Teddy Seidenfeld

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本文在完全条件度量的背景下研究了事件和变量的独立性的定义;也就是,当条件概率是一个原始概念并且允许对零事件进行条件处理时。独立概念的评估是关于图的性质;我们表明,当存在空事件时,弱并、收缩和交集的性质可能失败。
This paper examines definitions of independence for events and variables in the context of full conditional measures; that is, when conditional probability is a primitive notion and conditioning is allowed on null events. Independence concepts are evaluated with respect to graphoid properties; we show that properties of weak union, contraction and intersection may fail when null events are present.