A TRIANGLE INEQUALITY FOR COVARIANCES OF BINARY FKG RANDOM VARIABLES
成果类型：
Article
署名作者：
van den Berg, J.; Gandolfi, A.
署名单位：
University of Rome Tor Vergata
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
发表日期：
1995
页码：
322-326
关键词：
摘要：
For binary random variables sigma(1), sigma(2), . . . , sigma(n) that satisfy the well-known FKG condition, we show that the variances and covariances satisfy Var(sigma(j))Cov(sigma(i), sigma(k)) >= Cov(sigma(i), sigma(j))Cov(sigma(i), sigma(k)), 1 <= i, j, k <= n. This generalizes and improves a result by Graham for ferromagnetic Ising models with nonnegative external fields.