I've been watching this series recently. It's got quite a bit of statistics, mixed with some code and real world applications. It's certainly refreshed my memory on some things; some of them I'm not sure I really appreciated first time round.

https://youtu.be/C1lhuz6pZC0

It's probably not as rigourous as you mention in your edit but I'll leave it here in case someone else is drawn to the title.