On 04/03/2013 03:35 PM, David Bernier wrote: > On 04/03/2013 10:48 AM, David Bernier wrote: >> On 04/03/2013 10:25 AM, email@example.com wrote: >>> On Wednesday, April 3, 2013 3:17:45 AM UTC-4, David Bernier wrote: [...] >>>> The graphic drawn with MatLab is here: >>>> >>>> >>>> >>>> >>>> >>>> http://img203.imageshack.us/img203/9220/brown1.png [...] > >>> It looks like BM to me too. Do some tests for independent increments >>> and normality of increments over 50 (say) points. >>> >> >> I guess my aim is perfection here ... >> My major (and lasting) concern >> is that 1205 random coin tosses, used to generate >> a displacement from -1205 to 1205 (odd integer values only), >> is not exactly a Gaussian random variable. >> >> The second concern is bugs in the "bit-extractor", >> and samples-generating C code, >> for the 2,468,800-byte file. > > I used chunks of 32 bytes to get blocks of 256 random bits, > interpreted as a sample from a uniform distribution on > [0, 1].
N.B.: This technique was used for B.M. sample #2, unfortunately rendered as a JPG graphic file ...
> > I used the Box-Muller method to transform pairs > of uniform variates into pairs of standard normal, > independent, variates: > < http://en.wikipedia.org/wiki/Box_Muller_transform#Basic_form > . > > Thus, the result is 77,150 independent standard normal variates. > > I'm wondering if *.png graphics files might look better > than *.jpg files ... I made them both, brown1 and brown2, > with MatLab on an off-line computer with Windows 2000.
"Sometimes, PNG is superior..." (xkcd cartoon).
"PNG format is a lossless compression file format, which makes it a common choice for use on the Web. PNG is a good choice for storing line drawings, text, and iconic graphics at a small file size."