Negative correlation and log‐concavity
Negative correlation and log‐concavity
Abstract We give counterexamples and a few positive results related to several conjectures of R. Pemantle (Pemantle, J Math Phys 41 (2000), 1371–1390) and D. Wagner (Wagner, Ann Combin 12 (2008), 211–239) concerning negative correlation and log‐concavity properties for probability measures and relations between them. Most of the negative results …