Random Points on a Sphere

Re:Random Points on a Sphere by asdkashdkjashd on Monday April 27, 2015 @01:05PM (#9447612)

You have to assume that the one-dimensional marginals are Gaussian for otherwise the statement is not correct.

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Re:Random Points on a Sphere by darkmighty on Monday April 27, 2015 @06:55PM (#9449622)

Hmm I'm not sure I get your point. I'm trying to prove that the joint pdf of N iid RV's is isotropic if and only if the RV's are gaussian. If I assume the pdfs are gaussian in the first place the proof isn't valid?

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Re:Random Points on a Sphere by asdkashdkjashd on Monday April 27, 2015 @07:48PM (#9449819)

Oh, I see. I thought you were trying to prove something different.

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