MPI-I-98-1-018
On positive influence and negative dependence
Dubhashi, Devdatt and Ranjan, Desh
August 1998, 12 pages.
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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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BibTeX
@TECHREPORT{DubhashiRanjan98,
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},
}