1. A method of distributing a random variable using statistically correct spatial interpolation, the method comprising: forming 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 multiple independent random variables at each of the seed points; defining a plurality of test points in the same coordinate frame; defining a linear combination of the random variables at each of the test points by spatial interpolation from one or more of the random variables assigned at each seed point within the radius-of-influence, d 0 of the test point; and adjusting the linear combination of the random variables at each of the test points with a respective function to preserve a desired global statistical distribution characteristics such as mean, μ, and standard deviation, σ.