[disgruntledphd2]

I completely see your point on estimators and the nature of many if not most statistics courses. I suppose that I was lucky enough to study non-parametric statistics in my first year of undergrad, as there's a subset within psychology that's very suspicious of all the assumptions required for the traditional estimators.

That being said, I think you're missing my major point which is that a PhD should be a journey of independent intellectual activity, so the courses one takes should be of little relevance, and so can therefore be downweighted in considering what PhD students actually learn. I accept that this is an idealistic viewpoint (FWIW, the best thing that ever happened to my PhD in this context was my supervisor taking maternity leave twice during my studies, which forced me to go to the wider world for more information about statistics).

I accept your point about machine learning not being a major focus of academia (well except for machine learning researchers), and I think its awful. Its very sad that the better methods for dealing with large scale data and complex relationships are only used by private companies. Its not that surprising, but it is sad.

That being said, I firmly believe that any halfway skilled quantitative PhD can understand machine learning, most of which is based on older statistical methods. It may not be taught (yet), but its not that much of a mindblowing experience. I do remember that when I first heard about cross-validation I got shivers down my spine, but that may just be a sad reflection on my interests rather than a more general point.