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Negative dependence through the FKG Inequality

Dubhashi, Devdatt P. and Priebe, Volker and Ranjan, Desh

August 1996, 10 pages.

Status: available - back from printing

We investigate random variables arising in occupancy problems, and show the variables to be negatively associated, that is, negatively dependent in a strong sense. Our proofs are based on the FKG correlation inequality, and they suggest a useful, general technique for proving negative dependence among random variables. We also show that in the special case of two binary random variables, the notions of negative correlation and negative association coincide.

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  AUTHOR = {Dubhashi, Devdatt P. and Priebe, Volker and Ranjan, Desh},
  TITLE = {Negative dependence through the FKG Inequality},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-96-1-020},
  MONTH = {August},
  YEAR = {1996},
  ISSN = {0946-011X},