thanks EnumaElish,
I think you're right,
and if looking at it that way (as vector space) the maximum number of independent binary random variables above 2^n points in the sample space, is 2^n...and not n.
I've tried induction,
but I still don't get it...
I don't really know how to algebraically define
dependent random variables (dependent by their random variable function)
Hi all,
assume we have a sample space with 2^n points. (it size is 2^n for some natural n)
I need to prove that the maximal number of independent binary (indicator) random variables (which are not trivial, i.e. constant) is n...
Thnks,
Pitter