Towards a theory of negative dependence
Towards a theory of negative dependence
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DOI：
10.1063/1.533200
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发表时间：
2000-03
影响因子：
1.3
通讯作者：
Robin Pemantle
中科院分区：
文献类型：
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作者：
Robin Pemantle
FKG定理说，正格条件，一个容易检验的假设，适用于许多自然事件族，意味着正关联，一个非常有用的性质。因此，有一种自然而有用的正相关事件理论。到目前为止，还没有相应的负相关事件理论。然而，需要这样一种理论。不幸的是，本文没有包含实质性的定理。它的目的是提出的例子，激励需要这样一个理论，给出合理性的论点存在这样一个理论，概述了一些可能的方向，这样一个理论可能采取，并说明了一些具体的attacktures属于的例子和愿望清单的定理。
The FKG theorem says that the positive lattice condition, an easily checkable hypothesis which holds for many natural families of events, implies positive association, a very useful property. Thus there is a natural and useful theory of positively dependent events. There is, as yet, no corresponding theory of negatively dependent events. There is, however, a need for such a theory. This paper, unfortunately, contains no substantial theorems. Its purpose is to present examples that motivate a need for such a theory, give plausibility arguments for the existence of such a theory, outline a few possible directions such a theory might take, and state a number of specific conjectures which pertain to the examples and to a wish list of theorems.