[wrong] [ot] crazy journal

Karl gmkarl at gmail.com
Sun May 30 12:35:20 PDT 2021


Considering the avenue of counting how many diffetent samplings give a bin
with the sampled height.

Is there or is there not a reasonable way to measure this?  What would a
stats teacher tell you?

Enumerating all the samplings involves considering each population bin,
with each next population bin, and each next population bin.  This pattern
is why the total number of possible histogram samplings is
popcount^sampcount or some such.

If this bin has a height of z, that means that exactly z of those
iterations landed on it, and sampcount-z of them did not.

The sampcount-z quantity is a product that will be the same for every way
of filling the bin.  So the big question is, how many ways are there of
filling the bin.
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