Oct 21, 2020 · This may seem trivial but just to confirm, as the expected value is a constant, this implies that the expectation of an expectation is just itself. It would be useful to know if this …

Dec 13, 2013 · 2 A clever solution to find the expected value of a geometric r.v. is those employed in this video lecture of the MITx course "Introduction to Probability: Part 1 - The Fundamentals" …

May 27, 2011 · I understand how to define conditional expectation and how to prove that it exists. Further, I think I understand what conditional expectation means intuitively. I can also prove …

Difference between logarithm of an expectation value and expectation value of a logarithm Ask Question Asked 14 years, 9 months ago Modified 10 years, 9 months ago

Nov 17, 2012 · Part of it might be because of the word "expectation." In common usage, when we expect something to happen, we think it's more likely to happen than not. But in probability, …

Dec 14, 2012 · Expectation of an exponential function Ask Question Asked 12 years, 11 months ago Modified 9 years, 6 months ago

Oct 31, 2012 · As far as resources go, I remember learning things like this variously from "Art and Craft of Problem Solving", Art of Problem Solving's "Introduction to" and "Intermediate …

Aug 20, 2015 · Expectation in measure theory Ask Question Asked 10 years, 3 months ago Modified 2 years, 8 months ago

Nov 7, 2013 · The expectation of absolute value of random variables Ask Question Asked 12 years ago Modified 6 years, 7 months ago

The second term is such because $E (X)$ is a constant, and the expectation of a constant is the constant itself (same for the last term ($E (X))^2$) $=E (X^2)-2 (E (X))^2+ (E (X))^2=E (X^2)- …