Timeline for Probability distribution or the distance between two points in $n$-dimensional Euclidean space after a random perturbation of one point
Current License: CC BY-SA 3.0
10 events
when toggle format | what | by | license | comment | |
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Feb 16, 2014 at 17:21 | comment | added | Sauer | Well, no worries, the derivation looks great, and thanks very much for that. | |
Feb 16, 2014 at 17:18 | comment | added | Bjørn Kjos-Hanssen | yes, should be 0 | |
Feb 16, 2014 at 17:13 | comment | added | Sauer | The imaginary component should be zero, right? I'm a little confused because you said "maybe zero" in a previous comment? | |
Feb 16, 2014 at 17:11 | comment | added | Sauer | Well, I see an increase in the magnitude of the imaginary component with increasing working precision. This tells me that it's likely a bug or some problem with rounding. | |
Feb 16, 2014 at 17:08 | comment | added | Sauer | Try $r = 0.1$. In both Maple and Mathematica, I see an imaginary component. Since I have Mathematica up at the moment, I find an expectation of: $1.0025 - 3.1372*10^{-11} i$ for $r = 0.1$. The magnitude of the imaginary component appears to increase with additional working precision. | |
Feb 16, 2014 at 16:57 | comment | added | Sauer | Apologies, my previous comments regarding an imaginary component in the expectation, while unresolved, must be a problem with Maple. I do not see an issue with the derivation of the PDF for $h_2$. | |
Feb 16, 2014 at 8:13 | vote | accept | Sauer | ||
Feb 16, 2014 at 8:07 | history | edited | Bjørn Kjos-Hanssen | CC BY-SA 3.0 |
added 613 characters in body
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Feb 15, 2014 at 7:55 | history | edited | Bjørn Kjos-Hanssen | CC BY-SA 3.0 |
added 240 characters in body
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Feb 13, 2014 at 20:03 | history | answered | Bjørn Kjos-Hanssen | CC BY-SA 3.0 |