This paper contains a review of certain multivariate probability inequalities. The inequalities discussed include the FKG inequalities and the related association inequalities, inequalities resulting from Schur convexity and its extension to reflection groups, and inequalities for probabilities of certain convex symmetric sets.
"A Review of Selected Topics in Multivariate Probability Inequalities." Ann. Statist. 10 (1) 11 - 43, March, 1982. https://doi.org/10.1214/aos/1176345688