CISS is dealing with it fine (stripping off the tails brings us back to finite, but large, variance). The Bag of Little Bootstraps goes completely haywire. Bootstrap-Metropolis-Hastings is somewhere in the middle. Using a query that introduces correlated filtering doesn't change things much one way or the other.
So, I think this is a better illustration if we're only going to use three distributions. I suppose there's no downside to showing all four, other than all these graphs are making the paper pretty long without adding much real meat.
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