They are synonyms! Both are the expected value of (the function of) a random variable. (I had started writing mu, but then changed the notation for the remaining variance to also make the expected value explicit as requested. Mu seemed like less appropriate notation for this. Maybe I’ll change all mu to E once I have access to more than my phone again. Edit: I was too lazy to do that change :) ).
Nice post. Is there some subtle distinction between μ and E I’m missing, or are they synonyms as used here?
They are synonyms! Both are the expected value of (the function of) a random variable. (I had started writing mu, but then changed the notation for the remaining variance to also make the expected value explicit as requested. Mu seemed like less appropriate notation for this. Maybe I’ll change all mu to E once I have access to more than my phone again. Edit: I was too lazy to do that change :) ).
Thank you for the clarification!