Math people either love or hate statistics.
What I have found that helps me is to think of the various theorems from the perspective of functions on spaces. Instead of the messy pseudo-math that intro courses present it as, there are underlying measure spaces. Past all the word salad, spaces are what is tossed around and modified to reason about reality.
@jmw150 i'm not really math savy, do you have any recommendation for non shitty material about statistics?
@bonifartius Wish I did.
Because of the money the stats doctrine makes, really only graduate school stat and math books get into the meat of it.
@jmw150 you do mean these spaces? https://en.m.wikipedia.org/wiki/Probability_space
feels definitively less crazy than the random formulae you have in school involving factorials etc. may be due to sets being commonly used to describe algorithms in computer science (also explains why i have no problem with most theorethical cs but with many math topics if they are in classic notation ;)
@jmw150 I like stats, but I hate how it's taught to non-math people (myself included). I also really hate the various "rules of thumb" that have good justifications in certain cases, but completely break down in others. I cannot tell you how many scientists I've met that don't know how to use stats properly. I've had to argue with people (including professors) in my previous research groups over faulty stats, and they were incredibly resistant to the criticism. Fortunately, my current advisor is actually quite good at stats, so he addresses the issues instead of me 😂