Once upon a time Professor Matheron saw fit to talk about Brownian motion along straight lines. He talked about it during his presentation at a colloquium on Geostatistics at the University of Kansas on June 7-9, 1970. Matheron did not know then the number of degrees of freedom ought to be counted. So he never did! That’s why the Founder of Geostatistics could not possibly have tested for spatial dependence between ordered sets of measured values in sample spaces.
Put it on paper; call it a PhD thesis; get it approved! Simple comme bonjour, n’est-ce pas! But the PhD supervisors at Université de Paris Sorbonne did not approve Professor Matheron’s PhD thesis. On the contrary, they wanted to know what I had wanted to know! The title of Matheron’s thesis was “Les variables régionalisées et leur estimation: une application de la theory des fonctions aléatoires aux sciences de la nature”. How about that? Thank goodness French was my first foreign language! So I knew what Professor Matheron had tried to do!