Prior and posterior distributions for ψ(Δx) and g(∆x). Top panel: The data correspond to the tenth segment of order 110. The dashed blue line is the median of the prior distribution for ψ(∆x). The blue shaded bands around the blue line show the central 68% and 95% of the prior distribution. The red solid line and the corresponding red bands show the same quantities for the posterior distribution. Bottom panel: The lines and the bands have the same meaning as in the top panel but are for function g(∆x) which modifies the variance array as per Eq. (24).