Before revision:  A general approach to measure the goodness-of-fit of the fitted parameters, which we advocate herein, is to use a nonparametric measure for model comparison between the raw data and the fitted model.
After revision:  A general approach to measure the goodness-of-fit of the fitted parameters, which we advocate herein, is to use a nonparametric measure for model comparison between the empirical distribution, comprising the raw data, and the fitted model.