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    $\begingroup$ Very nice. (+1) Check out my answer for an analytic solution. (: $\endgroup$ Commented Nov 20, 2019 at 19:44
  • $\begingroup$ This nicely shows how it would be wrong to just scale-up distribution x1 by factor 0.8746943/0.7488232. x1^(3/7) replicates the whole distribution, not just the mean. I learned a lot from this! Thanks a lot! (+1) $\endgroup$ Commented Nov 21, 2019 at 12:04