We introduce a new nonquadratic mixing rule that models correlations between species by means of the q-product of mole fractions, instead of the ordinary product. The use of the q-product is a procedure adopted within the nonextensive statistical mechanics formalism in the generalization of the central limit theorem for strongly correlated systems. The proposal is a generalization of the ordinary van der Waals quadratic law that is recovered when the so-called nonquadraticity binary parameter takes the limit q(ij)-> 1. The proposed 9-mixing rule has been tested by evaluating vapor-liquid equilibrium at different temperatures for systems containing alcohol, hydrocarbons and CO2, species that yield departures from ideality. Two distinct approaches, the Akaike Information Criterion and the F-test, were used to compare the 9-mixing rule and the van der Waals mixing rule. (C) 2015 Elsevier Ltd. All rights reserved.