Functions of random variable and their expected value

cappadonza
Messages
26
Reaction score
0
suppose we have random variable defined a function of another random variable such that Y = \mathbb{E}(X)
it seem then Y is a constant. then \mathbb{E}(Y) = \mathbb{E}(X) does this even make sense ?
 
Physics news on Phys.org
If Y=E(X), then it is constant. Calling Y a random variable doesn't make sense. What is the context?
 

Thread 'Roulette wheel physics and probability'

Hi all, I've been a roulette player for more than 10 years (although I took time off here and there) and it's only now that I'm trying to understand the physics of the game. Basically my strategy in roulette is to divide the wheel roughly into two halves (let's call them A and B). My theory is that in roulette there will invariably be variance. In other words, if A comes up 5 times in a row, B will be due to come up soon. However I have been proven wrong many times, and I have seen some...
View full post »
Thread 'Detail of Diagonalization Lemma'

Thread 'Detail of Diagonalization Lemma'

The following is more or less taken from page 6 of C. Smorynski's "Self-Reference and Modal Logic". (Springer, 1985) (I couldn't get raised brackets to indicate codification (Gödel numbering), so I use a box. The overline is assigning a name. The detail I would like clarification on is in the second step in the last line, where we have an m-overlined, and we substitute the expression for m. Are we saying that the name of a coded term is the same as the coded term? Thanks in advance.
View full post »

Similar threads

I Statistical modeling and relationship between random variables
Replies
7
Views
2K
I Help understanding conditional expectation identity
Replies
1
Views
2K
I Is this conditional expectation identity true?
Replies
1
Views
2K
I How to obtain moment bound from the importance sampling identity?
Replies
1
Views
2K
I Sampling theory and random sample
Replies
5
Views
2K
I Randomly Stopped Sums vs the sum of I.I.D. Random Variables
Replies
2
Views
2K
I On pdf of a sum of two r.v.s and differentiating under the integral
Replies
2
Views
2K
I Sample space, outcome, event, random variable, probability...
Replies
6
Views
3K
I Linear regression and random variables
Replies
30
Views
4K
MHB Understanding Random Variable Mapping and Probability Functions
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top