Difference between logarithm of an expectation value and expectation value of a logarithm Ask Question Asked 14 years, 11 months ago Modified 10 years, 11 months ago

Nov 21, 2025 · Explore related questions probability random-variables expected-value conditional-expectation See similar questions with these tags.

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 assumption is

3 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" (by the way, an extremely …

Jul 11, 2015 · Expected Value Proof - Law of Total Expectation. Ask Question Asked 10 years, 6 months ago Modified 6 years, 1 month ago

I think you mean the expectation of the square of a geometric random variable. "Expectation squared ____" would seem to mean "square of expectation ____".

Jul 30, 2024 · Interchange expectation and sup Ask Question Asked 1 year, 5 months ago Modified 1 year, 5 months ago

Mar 23, 2016 · Yes, you are right. This is sometimes called the law of the unconscious statistician. If it is a discrete distribution and one knows its probability mass function fX f X (but not fg(X) f g (X)), then …

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 ($E (X))^2$) $=E (X^2)-2 (E (X))^2+ (E (X))^2=E (X^2)- (E (X))^2$

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 the …