> Right, I probably want a modified version in my case where I normalize
> the distances somehow.
>

You can divide the result by any scalar you want and it will still have
non-zero probability of being farther than any given distance d from the
mean. Of course, it gets very very unlikely as the distance increases.


> So "radius" in this case is the variance of the ith component of the
> vector, since the covariance matrix is diagonal?
>
>
I don't think that's a covariance matrix in general given how it is
applied. The argument in question is used as a standard deviation rather
than (co)variance from what I can see.

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