关于负依赖理论
Towards a theory of negative dependence
摘要:
FKG定理说,正格条件,一个对许多自然事件族成立的容易检验的假设,蕴涵着正缔合,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。
英文摘要:
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.
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。