Perception of European universities

[Econometrician]

Hi everyone,

During my time spent lurking on this forum, I've noticed that the vast majority of statistics applicants that post here are either American or Asian students, with barely any continental European representation. Of course, this is not just a phenomenon on this forum - besides the top French schools, European universities don't seem to send many students to US PhD programs at all. 
 

So, that brings me to the purpose of this post -- could individuals involved with US Stats departments shed light on how (students from) European universities are regarded? To make the question more concrete, how are top continental European universities, such as ETH Zürich, the University of Copenhagen, or the University of Amsterdam regarded? Are applicants from these universities at a large disadvantage as compared to those from US or top Asian schools?

Any insights on this matter would be very welcome and helpful!