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visits member for 2 years, 2 months
seen Jan 6 at 22:15
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Dec
15
comment How to test a reduced linear model passing through the origin?
+1 Great. Please add some comments and explanation. Thank you.
Mar
9
comment How to generate uniformly distributed points in the 3-d unit ball?
@whuber: is the formula above correct?
Mar
8
comment How to generate uniformly distributed points in the 3-d unit ball?
@mbq: correction, I think the p.d.f is $f_{R, \Theta, \Phi}(r,\theta, \phi)=\frac{3}{4\pi}r^2sin\theta$
Mar
8
comment How to generate uniformly distributed points in the 3-d unit ball?
@mbq, I think to define the term, we need to have a p.d.f. of $f_{R, \Theta, \Phi}(r,\theta, \phi)=r^2$.
Mar
8
comment How to generate uniformly distributed points in the 3-d unit ball?
@whuber: maybe I just did not get the essence of the previous techniques. Let me try what you described. Additionally, what are the ways to check the uniformity here again?
Mar
8
comment Determining the nature of noise
I like your answer very much. +1
Mar
8
comment How to generate uniformly distributed points on the surface of the 3-d unit sphere?
I am just wondering if your method of generating points (x,y,z) is essentially the same as whuber's method?
Mar
8
comment How to generate uniformly distributed points on the surface of the 3-d unit sphere?
I bet it is mathematica... just tell from the color... :)
Mar
8
comment How to generate uniformly distributed points on the surface of the 3-d unit sphere?
@whuber: very nice! thanks a lot for your post! "$(X_1/\lambda, X_2/\lambda, X_3/\lambda)$ is uniformly distributed on the sphere." where can I find reference about its proof, or is it simply provable?
Mar
8
comment How to generate uniformly distributed points on the surface of the 3-d unit sphere?
is it possible to post the links where I can find the full text of these references? thanks.
Mar
7
comment How to generate uniformly distributed points on the surface of the 3-d unit sphere?
can any of these projections still preserve the uniformity of randomness? Again, how can I check whether the final distribution of these points are truly uniformly distributed on the surface of the sphere? Thanks.