Timeline for Is it possible to have a multivariate random distribution with all its random variables (pair-wise) reverse correlated?
Current License: CC BY-SA 4.0
5 events
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| Nov 21, 2023 at 17:18 | comment | added | whuber♦ | A few moments contemplating a regular tetrahedron should remove all sense of surprise, because all examples of this phenomenon concern vectors that approximate the vertices of a tetrahedron (in any finite number of dimensions). For two variables that "tetrahedron" is a zero-centered line segment in $\mathbb R^1;$ for three variables it is a zero-centered equilateral triangle in $\mathbb R^2;$ for four variables it is the usual (zero-centered) Platonic solid in $\mathbb R^3;$ and so on. We're concerned with the angles made between the rays through the vertices: something you can literally see | |
| Nov 16, 2023 at 22:13 | comment | added | Sextus Empiricus |
I don't see the surprise and why you need to do these simulations. Isn't the comment by Galen sufficient. Or else just do X = rnorm(n);Y = -0.5 * X + rnorm(n);Z = -X - 0.5*Y + rnorm(n)
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| Nov 16, 2023 at 22:04 | history | edited | Dave | CC BY-SA 4.0 |
added 358 characters in body
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| Nov 16, 2023 at 21:58 | comment | added | Alexis | +1 Very cool! I share your surprise. :) | |
| Nov 16, 2023 at 21:55 | history | answered | Dave | CC BY-SA 4.0 |