Recent content by cuak2000

Thanks for your reply Eynstone. Now I think the general problem is that lim[plim(X)]] makes sense (if both limits exist at least), but that plim[lim(X)] maybe doesn't, since I'm not sure you can take a lim of a random variable.

Hi. I have two questions, one general and one particular. 1) The general one is if you know or can give me a reference of when can I change the order of a probability limit and the pointwise limit of a function (assuming both plim and lim exist) Say, take a sequence X_n(k) of i.i.d. random...

Hey everyone, My understanding of difference equation is very limited and, after consulting a few books, I decided to post this here to get some ideas or at least some references on where to look. I have a symmetric first order difference equation system in two variables, X and Y. Though...

Hey, everyone. I'm trying to prove the following: f_n and f_n are real-valued function in \Omega \{\omega: f_n(\omega) \nrightarrow f(\omega) \} = \\ \bigcup^{\infty}_{k=1} \bigcap^{\infty}_{N=1} \bigcup^{\infty}_{n=1} \{ \omega : | f_n(\omega) - f(\omega) |...

"if all player's choices are unknown" -> Does that mean we should assume a uniform distribution?

Uhm...I wrote a long post, but the program crashed...I'll try to recover some of it. First, you can check the first chapter of Sidney Resnick - A probability path, for the definitions of \limsup and \liminf Basically, the idea with those two animals is to capture the definition of a...

Thanks for your reply! I've read a bit of the Feynman lectures, and it has certainly been a rewarding effort. I haven't seen the book by Penrose, but I'll check it out. cd

Hey! I know there are a lot of book recomendations in this site, but I thought my background is sufficiently strange to ask for a special answer. I've got my Calculus, basic Real Analysis and linear algebra OK. I'm rather weak in geometry though, but I feel ok learning new stuff in maths. I...