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Mar
19
reviewed No Action Needed Variance of product of multiple random variables
Mar
19
reviewed No Action Needed Is there such a thing as conditional mutual information?
Mar
19
comment Why are the Borel subsets on $\mathbb R$ a $\sigma$-algebra?
@vitasoy: You'll need to provide a little more context. We could guess what A.2 and A.3 are, but it would be much better for you to edit the question to include the precise statements you are wondering about. Cheers.
Mar
19
comment Why are the Borel subsets on $\mathbb R$ a $\sigma$-algebra?
@Rob: I think this question will be closed virtually instantaneously on MathOverflow as off-topic (not research-math level). One might debate whether it is better placed here or on math.SE, though. Right now the question is unanswerable (what is A.2 and A.3?), but it will be a duplicate over there once this is clarified.
Mar
18
reviewed Approve suggested edit on Inference on random graph, with an application to mobile sensors
Mar
18
comment Empirical distribution alternative
Fair enough. Thanks for the response. My main point of raising the issue of the sampling scheme was to address the theory, i.e., with (presumably) no extra work to sample as I've described (compared to the scheme you've laid out), one can obtain a more recognizable estimator with behavior that will be (I think) very easy to compare to the empirical distribution function.
Mar
18
comment Density of robots doing random walk in an infinite random geometric graph
That's true, but I took the sentence to mean what it said: You know there are only $n=1+4t+2(t−1)^2$ possible places you can land on the lattice after $t$ steps. :-) Perhaps an edit would help clarify. Cheers.
Mar
18
comment Empirical distribution alternative
(...) (ii) with potentially superior properties. (3) I would suggest you consider a little more flexibility with regard to the bounty. You may be surprised at some of the answers you get and awarding it too quickly may stunt that process to a certain degree.
Mar
18
comment Empirical distribution alternative
I am going to be nitpicky; please take it as a sign of my interest. (1) The expression given for TV is still incorrect. Consider two random variables, one is $\mathcal U(0,1/2)$ and the other is $\mathcal U(1/2,1)$. The TV distance between them is 1 (Choose $C = (0,1/2)$, for example), but your expression yields 1/2. (2) I would really like to know if you are married to the sampling scheme you have described. My last comment asks about an alternate sampling scheme. The purpose is to potentially give you an estimator that is (i) easier to analyze and (...)
Mar
18
comment Density of robots doing random walk in an infinite random geometric graph
How are you going to be at $(1,0)$ after two steps? (Maybe I'm not understanding the walk you're describing. If I think of the "usual" random walk on $\mathbb Z^2$, i.e., uniform in the four cardinal directions, then, unless I'm mistaken, the answer in my first comment should be correct.)
Mar
18
comment Fitting t distribtution to financial data
So many novelists, singers and artists have been visiting this site (with good answers!) of late. It's eerie!
Mar
18
reviewed Close What happens when I include a squared variable in my regression?
Mar
18
reviewed Close CODA gleman.diag, Error in chol.default(W):
Mar
18
revised Asymmetric S-shaped function mapping interval $[0, 1]$ to interval $[0, 1]$
Added human-readable text for links.
Mar
18
revised Asymmetric S-shaped function mapping interval $[0, 1]$ to interval $[0, 1]$
added 19 characters in body; edited title
Mar
18
revised Asymmetric S-shaped function mapping interval $[0, 1]$ to interval $[0, 1]$
rolled back to a previous revision
Mar
18
revised How can I predict the odds that a dodgeball team is going to win based on the winning history of its players?
edited tags; edited title
Mar
18
comment How can I predict the odds that a dodgeball team is going to win based on the winning history of its players?
Closely related: Measuring individual player effectiveness in 2-player per team sports. Also of interest: How to get started with rating and ranking based on pairwise competition data?. Mild curiosity: (A comment on) When is logistic regression solved in closed form?. Searching for Bradley Terry may yield other useful ideas. Cheers.
Mar
18
comment Asymmetric S-shaped function mapping interval $[0, 1]$ to interval $[0, 1]$
Dear @pengsun.thu: I have rejected your proposed edit. I'm not sure whether or not you can see the comment I left when I did so, so let me repeat it here: In lieu of editing the answer, please clarify whether you really intended the function to be concave on $[0,c]$ and convex on $[c,1]$. Such a function will not look much like an $S$ (asymmetric or otherwise). Cheers. :-)
Mar
18
reviewed Reject suggested edit on Asymmetric S-shaped function mapping interval $[0, 1]$ to interval $[0, 1]$