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Local-type primordial non-Gaussianity couples statistics of the curvatureperturbation \zeta on vastly different physical scales. Because of thiscoupling, statistics (i.e. the polyspectra) of \zeta in our Hubble volume maynot be representative of those in the larger universe -- that is, they may bebiased. The bias depends on the local background value of \zeta, which includescontributions from all modes with wavelength k ~< H_0 and is therefore enhancedif the entire post-inflationary patch is large compared with our Hubble volume.We study the bias to locally-measured statistics for general local-typenon-Gaussianity. We consider three examples in detail: (i) the usual fNL, gNLmodel, (ii) a strongly non-Gaussian model with \zeta ~ \zeta_G^p, and (iii)two-field non-Gaussian initial conditions. In each scenario one may generatestatistics in a Hubble-size patch that are weakly Gaussian and consistent withobservations despite the fact that the statistics in the larger,post-inflationary patch look very different.

Non-Gaussian Mode Coupling and the Statistical Cosmological Principle