102,807 reputation
1175180
bio website
location
age
visits member for 2 years, 4 months
seen 18 mins ago
stats profile views 14,428

As somebody used to say:

Does research. Smokes. Battles administration. Smokes. Wishes he could stop battling administration so that he could have more time to do research. Smokes some more.

The same. Except I do not smoke.


Oct
12
comment Showing the probability of an event occuring infinitely often is $0$
@bret, right, let us continue this once you will have had some sleep.
Oct
12
comment Proof involving a convex set
Not enough time to elaborate just now but the answer is: symmetry.
Oct
12
answered Showing the probability of an event occuring infinitely often is $0$
Oct
12
comment multivariate normal transformation
You might include your final solution in the question.
Oct
12
comment Two quadratic equations with equal ratios of roots
You know that $u(x)=u(y)$ and you want to deduce that $x=y$. This is not true in general (consider $u(x)=x^2$ on the real line) but this holds for one-to-one functions.
Oct
12
answered Two quadratic equations with equal ratios of roots
Oct
12
comment Limit of a sequence - Apostol 10.22 #1
25 minutes. $ $
Oct
12
answered Limit of a sequence - Apostol 10.22 #1
Oct
12
comment Proof involving a convex set
@robjohn, Colin asks that the sets $\{u\geqslant h\}$ are convex for every $h$ (that is, yes, that the function $u$ is concave).
Oct
12
answered Proof involving a convex set
Oct
12
revised Almost sure convergence on an inductively defined random variable
added 1063 characters in body
Oct
12
comment Almost sure convergence on an inductively defined random variable
@Sasha, I wonder how one knows the behaviour of the sum without independence of its increments.
Oct
12
comment Almost sure convergence on an inductively defined random variable
@chris, you have to assume independence since this is not explicitely stated in your exercise.
Oct
12
revised Finding an $f(x)$ that satisfies $f(f(x)) = 4 - 3x$
added 721 characters in body
Oct
12
answered Almost sure convergence on an inductively defined random variable
Oct
12
awarded  Nice Answer
Oct
11
revised Finding an $f(x)$ that satisfies $f(f(x)) = 4 - 3x$
deleted 18 characters in body
Oct
11
comment How can I prove this random process to be Standard Brownian Motion?
Dear Zoe: how could I know what you have learnt and what you have not since you chose to remain completely and absolutely silent on this? (Anyway, the appearance of my post has had the side effect of making you accept your own answer to your question.)
Oct
11
answered Finding an $f(x)$ that satisfies $f(f(x)) = 4 - 3x$
Oct
11
answered How can I prove this random process to be Standard Brownian Motion?