Our approach is based on testing for independence between the predictor and the residual obtained from the parametric fit by using the Hilbert-Schmidt independence criterion (Gretton et al., 2008).

Goodness-of-fit testing is a cornerstone of statistical methodology, providing robust means to assess whether empirical data align with a hypothesised distribution.

Given an i.i.d. sample drawn from a density f on the real line, the problem of testing whether f is in a given class of densities is considered. Testing procedures constructed on the basis of ...