Am 05.12.2016 um 22:31 schrieb Allin Cottrell:
Yes, this seems to be an artifact coming from the fact that the
vector
of cumulated sorted relative white-ball frequencies is, so to speak,
"super-uniform" -- much more uniform than a set of draws from U[0,1].
I still don't think this invented terminology is helpful (too Gaussian
to be Gaussian, super-uniform,... what's next :-) but anyway that's not
the core of the issue...
So I guess my question at this point is how to (or whether it's
even
possible to) map from a set of counts produced by equi-probable draws to
U[0,1]. Note that the counts themselves will surely not be uniform:
counts in the neighborhood of the expected value should be more numerous
than extreme values.
This is one of the first hits that I've found:
https://www.mnlottery.com/games/figuring_the_odds/hypergeometric_distribu...
I haven't checked and cannot vouch that that is correct. But it would
seem to confirm my initial feeling that the normal distribution has
nothing to do with this setup.
cheers,
sven