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On positive influence and negative dependence

Dubhashi, Devdatt and Ranjan, Desh

August 1998, 12 pages.

Status: available - back from printing

We study two notions of negative influence namely negative regression and negative association. We show that if a set of symmetric binary random variables are negatively regressed then they are necessarily negatively associated. The proof uses a lemma that is of independent interest and shows that every binary symmetric distribution has a variable of ``positive influence''. We also show that in general the notion of negative regression is different from that of negative association.

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  AUTHOR = {Dubhashi, Devdatt and Ranjan, Desh},
  TITLE = {On positive influence and negative dependence},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-98-1-018},
  MONTH = {August},
  YEAR = {1998},
  ISSN = {0946-011X},