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Timeline for A probabilistic angle inequality

Current License: CC BY-SA 4.0

16 events
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Aug 29, 2018 at 8:58 history edited Arnold Neumaier CC BY-SA 4.0
added improved constant and a reference to an application
May 7, 2018 at 15:33 vote accept Arnold Neumaier
Apr 30, 2018 at 16:55 comment added Arnold Neumaier @RaphaelB4: If you send me an email, I'll give you the matlab code.
Apr 30, 2018 at 16:53 comment added RaphaelB4 @ArnoldNeumaier could you please show the simulations you are talking about?
Apr 24, 2018 at 13:01 history edited Arnold Neumaier CC BY-SA 3.0
added question on best c
Apr 24, 2018 at 3:18 answer added Iosif Pinelis timeline score: 6
Apr 23, 2018 at 18:21 answer added Ron P timeline score: 6
Apr 23, 2018 at 16:01 comment added usul Perhaps computing expectations and using Markov's inequality?
Apr 23, 2018 at 15:50 comment added Ron P Try Berry-Essen Inequality (en.wikipedia.org/wiki/Berry%E2%80%93Esseen_theorem).
Apr 23, 2018 at 15:47 comment added Arnold Neumaier @IosifPinelis: yes. I changed the text since, indeed, length is ambiguous.
Apr 23, 2018 at 15:47 history edited Arnold Neumaier CC BY-SA 3.0
changed length to dimension
Apr 23, 2018 at 15:46 answer added Iosif Pinelis timeline score: 5
Apr 23, 2018 at 15:09 comment added Iosif Pinelis By the length of the vector, do you mean its dimension?
Apr 23, 2018 at 14:42 comment added user83457 The normals roatation invariance that means the wlog you can assume $ q = (1, 0,....,0) $ and then I think you are just looking at a couple of caps on the sphere, of which someone must know the area . Of course, the rotation invariance, and the fact that $\frac {\bar p } {||p||}$ is uniform on the sphere don't carry over.
Apr 23, 2018 at 14:34 comment added Arnold Neumaier @michael: Could you please indicate the argument for the normal (rather than uniform) case? Perhaps it can be generalized to other distributions.
Apr 23, 2018 at 13:24 history asked Arnold Neumaier CC BY-SA 3.0