200,844 reputation
17143315
bio website
location
age
visits member for 4 years
seen 8 hours ago

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.


10h
revised Central Limit Theorem, why $n \ge 30$?
deleted 8 characters in body
10h
comment Inequality connecting inf and liminf
Using the same symbol in an infimum and (on the other side of the inequality) as a true symbol seems most unwise in a teaching context. Likewise, in the second displayed line, $\liminf\limits_{y\to\infty}\inf\limits_{x,y}f(x,y)$ is exactly the kind of "niceties" which could throw off beginners.
10h
comment Multiplication rule and regular conditional probability
@user149705 I am afraid I fail to understand your last comment.
10h
comment Inverse Laplace transform of $s^{\beta-1}/(s^{\beta}+a)$
@dustin No, if people look at the question they will see (1) some votes to reopen and (2) an exchange in the comments leading to (3) an answer by the OP. Largely enough, I would say. (Not sure where you are heading to...)
14h
comment Inverse Laplace transform of $s^{\beta-1}/(s^{\beta}+a)$
@dustin And the question was voted for being reopened since this answer was posted.
14h
comment Multiplication rule and regular conditional probability
@MarioCarneiro What could be more basic than to define P(A|B) as P(A|B)=P(A∩B)/P(B) when P(B) is positive?
20h
reviewed Leave Closed This is a 2+1 D problem. I know a little about contour integration. Please suggest how may I proceed.
20h
reviewed Close Point on ellipse after walking a distance on the perimeter
20h
reviewed Close Find the slope of the secant line given a point
20h
reviewed Close Theorem $4.3.12$ on ( Mathématiques en BCPST Tome 1 Pascal BEAUGENDRE )
20h
comment Multiplication rule and regular conditional probability
This is asking to deduce that avery prime greater than 3 is odd from Fermat last theorem. What you call "multiplication rule for measurable sets" is usually taken as the definition of P(A|B) when P(B) is positive.
20h
comment Drift of Brownian motion conditioned on Hitting Time
Since you do not show your computations it is difficult to know, but one can note that you mention the distributions of paths conditioned to first return to 0 at some future time and of paths conditioned to be at 0 at the same future time. These do not coincide.
20h
comment convergence of $\sum_{n=1}^\infty\frac{1}{n} [1+\frac{1}{\sqrt{2}}+…+\frac{1}{\sqrt{n}}]$
@JpMcCarthy Somebody has, see math.stackexchange.com/q/1099865.
23h
comment Difference between $E[X^2]$ and $E[X^3]$
To summarize, IF some random variables are independent THEN their covariance is zero, but the inverse implication is false without some supplementary hypothesis.
1d
comment Inverse Laplace transform of $s^{\beta-1}/(s^{\beta}+a)$
@dustin No, the OP does not need to add this to the OP.
1d
comment Does a state which is passed at least 3 times had to be passed 5 times in Markov chain
Sorry but what are you talking about? My comment has an equal sign, not an inequality sign.
1d
comment Do not exist IID random variables $X, Y$ such that $X-Y \sim U[-1,1]$
You might "not see why" because you did not bother to read section 16.2 Elementary properties of CF.
1d
comment Do not exist IID random variables $X, Y$ such that $X-Y \sim U[-1,1]$
Hint: $$\phi_Z(3\pi/2)\lt0$$
1d
comment Do not exist IID random variables $X, Y$ such that $X-Y \sim U[-1,1]$
@coffeemath Characteristic function: $\phi_X:t\mapsto\phi_X(t)=E(e^{itX})$.
1d
comment Inverse Laplace transform of $s^{\beta-1}/(s^{\beta}+a)$
"Done!" Yes. "Could I simplify further the series?" I do not think so (of course, other equivalent names exist for this series).