Due to the broad applications of elliptical models, there is a long line of research on goodness-of-fit tests for empirically validating them. However, the existing literature on this topic is general
Data to fit the models reported in S2 Text of Tenan et al. (2017, PlosONE) "Data Integration for Inference about Spatial Processes: a Model-Based Approach to Test and Account for Data Inconsistency".
