Still not sure what you are aiming at… [General Sta­tis­tics]

posted by ElMaestro  – Denmark, 2020-06-30 00:55 (566 d 04:42 ago) – Posting: # 21611
Views: 3,470

OK, I try again.

I give you two functions of a sample x, call the functions f and g (or Z and s, or alpha and beta, or apple and banana). Symbols not important. How do we determine that f and g are independent?

I completely see the point about mean and dispersion, no issue, the plot is a nice example of apparent "correlationlessness".
Simulation of that specific case aside, how about generally, when f and g are not necessarily mean and dispersion indicators of the x-sample from a normal distribution?

Pass or fail!

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