All Questions
5
questions with no upvoted or accepted answers
1
vote
1
answer
61
views
Find the expected value of $|H-T|$
Bob repeatedly throws a (fair) coin. For each throw, there is a $4\%$ chance that Bob decides to stop throwing the coin. He records the number of heads H and the number of tails T before he stops ...
- 2,031
1
vote
0
answers
41
views
Solving double sum for the PMF of random variable Z=X+Y-1
Let $X,Y$ be two random variables with joint probability mass function
$$p_{X,Y}(k,l)=\begin{cases}
\frac{6}{\pi^2(k+l-1)^3},\, k,l\in\mathbb{N},\\
0, \text{ otherwise}.
\end{cases}$$
Now I need to ...
- 329
1
vote
1
answer
210
views
Prove that H(X|Y)≥0
I am trying to prove the conditional entropy of X given Y is greater than or equal to 0.
I am told that the entropy $H(X)$ (according to Boltzmann's H) is equal to $$H(X)=\sum_{i=1}^n -P_i\log_2P_i$$
...
- 111
1
vote
1
answer
51
views
Summand Evaluation Help
I'm a student currently in an algorithms and data structures class, and my Calculus is unfortunately quite shaky when it comes to summations. As such, I'm struggling to evaluate one of the sum that ...
- 11
0
votes
2
answers
62
views
Is inline summation index has different functionality, such as $\sum_{x,y} f(X,Y)$?
I find different papers use summation with a different style than other summation in the same paper. This thing repeats in more than one paper. Therefore I believe this is summation do different work ...
- 663