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Re: Does uniform distribution of integers imply a uniform distribution of their bits?
Posted:
Feb 24, 2013 4:49 PM


On 20130222, Ray Koopman <koopman@sfu.ca> wrote: > On Feb 22, 10:59 am, Codeplug <graham.gre...@charter.net> wrote: >> Let's say I have a uniformly distributed set of 8bit integers  [0, 255]. >> If those integers are then concatenated to form a string of bits, are those bits also uniformly distributed?
>> Thanks for the stat/math help :) >> gg
> If the integers are uniform on [0, 2^n  1], where n is a positive > integer, then YES.
It is somewhat unclear what the question is. Uniformly distributed does not mean independent and random. If they are also independent and created by a uniform random process, this will also be the case for the bits in the concatenated string.
 This address is for information only. I do not claim that these views are those of the Statistics Department or of Purdue University. Herman Rubin, Department of Statistics, Purdue University hrubin@stat.purdue.edu Phone: (765)4946054 FAX: (765)4940558



