Timeline for Random walk by simplex vertices
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 17, 2013 at 14:04 | comment | added | ofer zeitouni | 1) range is 1...r (i.e. I do not look at r+1 component, which is determined by the others. You can take 1,..., (r+1), it's the same event). 2) No; I mean Binomial RANDOM VARIABLE (n, 1/(r+1)); this means, with n attempts and probability of success equal 1/(r+1). | |
| Dec 17, 2013 at 13:16 | comment | added | Dylan Pizzo | Does that mean that $A_n$ should be with $j$ ranging from 0 to r if the vectors have r+1 components? (same for $j'$ as well except going from 0 to $j$)? Also, just trying to clarify, you say that $S_n$ is binomial(n,1/(r+1)); by that I assume you mean $\binom{n}{\frac{1}{r+1}}$? | |
| Dec 16, 2013 at 16:59 | comment | added | ofer zeitouni | @Dpiz: When you say unit vectors of length r+1 with exactly one entry nonzero, you mean an r+1 dimensional vector with all components 0 except for one which is 1? Yes. What is $S_n(j)$? The $j$th component of $S_n$. | |
| Dec 16, 2013 at 13:13 | comment | added | Dylan Pizzo | Just trying to clarify: When you say unit vectors of length r+1 with exactly one entry nonzero, you mean an r+1 dimensional vector with all components 0 except for one which is 1? Also, I apologize if this is a stupid question, but what is $S_n(j)$? | |
| Dec 15, 2013 at 22:11 | history | answered | ofer zeitouni | CC BY-SA 3.0 |