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Jan 27 at 3:14 history edited Mark Schultz-Wu CC BY-SA 4.0
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Jan 27 at 1:54 comment added Michael Hardy I think you ought to explain that in the question.
Jan 26 at 22:59 comment added Mark Schultz-Wu @MichaelHardy The random vectors $\vec X, \vec X'$ are viewed as polynomials $\vec X \sim \sum_{i} \vec X_i y^i$, and then multiplied in $\mathbb{R}[y]/(y^n-1)$. As an example, the first coordinate of $\vec X\ast \vec X'$ is $\sum_{i = 0}^n \vec X_i \vec X'_{n-i}$ (up to a potential off-by-one error in the indices).
Jan 26 at 22:56 comment added Michael Hardy Where you speak of "convolutions of random variables,", I wonder whether the things whose convolutions you speak of are actually the density functions rather than the random variables themselves?
Jan 26 at 22:25 history asked Mark Schultz-Wu CC BY-SA 4.0