Nested sampling (NS) is a popular algorithm for Bayesian computation. We investigate statistical errors in NS both analytically and numerically. show two analytic results. First, we that the leading terms Skilling's expression using information theory match Keeton's from an analysis of moments. This approximate agreement was previously only known numerically somewhat mysterious. Second, uncerta...

Abstract We review the materials science applications of nested sampling (NS) method, which was originally conceived for calculating evidence in Bayesian inference. describe how NS can be adapted to sample potential energy surface (PES) atomistic systems, providing a straightforward approximation partition function and allowing evaluation thermodynamic variables at arbitrary temperatures. After...