Statistical Naturalness and non-Gaussianity in a Finite Universe
  We study the behavior of n-point functions of the primordial curvature perturbations, assuming our observed Universe is only a subset of a larger space with statistically homogeneous and isotropic perturbations. If the larger space has arbitrary n-point functions in a family of local type non-Gaussian statistics, sufficiently biased smaller volumes will have statistics from a `natural' version of that family with moments that are weakly non-Gaussian and ordered, regardless of the statistics of the original field. We also describe the effect of this bias on the shape of the bispectrum. 
Elliot Nelson and Sarah Shandera
astro-ph.CO