Fig. 1: Symmetry in Bayesian setting.

a Schematic illustration of the correspondence between even-odd chains and 2D lattice. b Final posterior distributions of parameters (µ1, µ2, σ1, and σ2) involved in analysis of case-1, posterior distributions after first update are shown by solid lines. c Final posterior distributions of parameters (µ1, µ2, σ1, and σ2) involved in case-2, posterior distributions after first update are shown by solid lines. d Posterior distribution of µ3 as a function of number of datapoints for case-2. e High density interval (HDI) of µ3 (blue) and region of practical importance (ROPE) (red).