Stochastic comparison of point random fields

We give an alternative proof of a point–process version of the FKG–Holley– Preston inequality which provides a sufficient condition for stochastic domination of probability measures, and for positive correlations of increasing functions. Stochastic domination, FKG inequality, correlation inequalities, Gibbs distribution, Poisson point process. AMS 1991 Subject Classification: Primary 60 G 55 Secondary 60 K 35; 82 B 21