The correlation coefficient can reveal when variables are statistically uncorrelated. In fact, Kutzelnigg observed 39 that the initial impetus for Wigner and Seitzer's coining of "electron correlation" was the observation of a lack of statistical correlation between the positions of parallel spin electrons within the Hartree Product. In the case of Hartee-Fock, the Slater determinant form of the wavefunction adds Fermi correlation (HF exchange), and separately, the fact that the joint-density function is equivalent to the product of the density functions -consistent with idempotency -implies statistical independence. Beyond the mean-field approximation, the introduction of non-independence between the particles may be evaluated in a statistical sense by a moment-generating function of stochastic variables to evaluate the cumulants of the expansion; 43 a mapping by way of the antisymmeterized logarithm 44 yields the cumulants of the p Γ, p ∆, a quantity which is generated from the connected portions of the respective p Γ from the Generalized Wick's