Towards a theory of negative dependence

@article{Pemantle2000TowardsAT,
  title={Towards a theory of negative dependence},
  author={Robin Pemantle},
  journal={Journal of Mathematical Physics},
  year={2000},
  volume={41},
  pages={1371-1390}
}
  • R. Pemantle
  • Published 3 March 2000
  • Mathematics
  • Journal of Mathematical Physics
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… 
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