1. A computer-implemented method of distributing random variables using statistically correct spatial interpolation, the method comprising: forming, by a computer, an array of seed points with a maximum separation distance between the seed points less than a radius-of-influence, d 0 , in a region of a coordinate frame; assigning, by said computer, independent random variables at each of the seed points; defining, by said computer, a plurality of test points in the coordinate frame; defining, by said computer, a linear combination of the random variables at each of the test points by spatial interpolation from one or more of the independent random variables assigned at each seed point within the radius-of-influence, d 0 , of the test points; and adjusting, by said computer, the linear combination of the random variables at each of the test points with a respective function to preserve global statistical distribution characteristics of a mean and a standard deviation.