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  • 26 votes cast
Jun
8
comment If F is a cumulative distribution function, then $\lim_{x\to\infty}F(x)=1$
Agree, making a correction.
Jun
8
asked If F is a cumulative distribution function, then $\lim_{x\to\infty}F(x)=1$
Jun
6
comment Transform rectangular region to region bounded by $y=1$ and $y=x^2$
OK, I do see that if you fix $v$ then $u$ varies between $u=-\sqrt v$ and $u=\sqrt v$, but why does that make you pick $x=u\sqrt v$ and $y=v$?
Jun
6
comment Transform rectangular region to region bounded by $y=1$ and $y=x^2$
This answer appears to be correct. I'm sorry, I'm just not seeing how you did this so quickly and easily.
Jun
6
comment Transform rectangular region to region bounded by $y=1$ and $y=x^2$
Two questions: 1) How did you figure this out? 2) I don't think it is correct as I believe it maps the region $(-1,1)\times(0,1)$ into the region $(-1,1)\times(0,1)$ minus the region bounded by the curves $y=1$ and $y=x^2$.
Jun
6
asked Transform rectangular region to region bounded by $y=1$ and $y=x^2$
Jun
3
asked The p.d.f as a derivative of the c.d.f.
Jun
3
accepted What is a bounded discrete random variable
Jun
3
comment What is a bounded discrete random variable
And this means that the normal random variable Z is unbounded?
Jun
2
asked What is a bounded discrete random variable
Apr
25
awarded  Popular Question
Apr
14
awarded  Popular Question
Apr
13
comment Case C: Euler's equation in Simmon's textbook
I've adjusted my work above to reflect what I learned from your comment. Am I understanding this properly?
Apr
13
revised Case C: Euler's equation in Simmon's textbook
added 1200 characters in body
Apr
12
asked Case C: Euler's equation in Simmon's textbook
Mar
26
asked Classification type of equilibrium point
Jan
5
awarded  Yearling
Nov
24
asked Why is SSE called unexplained variation
Aug
15
asked Examples of Lebesgue dominated convergence theorem
Jul
13
comment Folland, Chapter 1 Problem 17
Eric, nope, you have it incorrect. It might be because we're using different letters and it's getting you confused. Here is the definition, direct from Folland: If $\mu^*$ is an outer measure on $X$, a set $A\subset X$ is called $\mu^*$-measurable if $\mu^*(E)=\mu^*(E\cap A)+\mu^*(E\cap A^C)$ for all $E\subset X$. Now if I change my letters it would read: A set $E$ is called $\mu^*$-measurable if $\mu^*(A)=\mu^*(A\cap E)+\mu^*(A\cap E^C)$ for all $A\subset X$. Hope this helps.