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February 27th, 2009, 03:59 PM  #1 
Newbie Joined: Feb 2009 Posts: 2 Thanks: 0  Quality of random numbers
Hi, i'm looking for a numerical example of a Kolmogorov's stochasticity parameter formula. Arnolds paper has good example of it symbolically, "Orbits' statistics in chaotic dynamical systems" http://www.iop.org/EJ/abstract/09517715/21/7/T02/ sequence of n = 15 twodigit numbers: 03,09,27,81,43,29,87,61,83,49,47,41,23,69,07 (1) 37,74,11,48,85,22,59,96,33,70,07,44,81,18,55 (2) n = 15 x1<x2<...<xn wich gives 0,7 for (1) and 0,33 for (2) sup for (1) is 87 and (2) is 96... Could someone show how all this is done numerically, so that I could then make a program to test sequencies fast? That is, formula (4) and formula (5) in the pdf paper... 
March 7th, 2009, 11:25 AM  #2 
Newbie Joined: Feb 2009 Posts: 2 Thanks: 0  Re: Quality of random numbers
In other words, this is the Kolmogorov–Smirnov statistic. http://en.wikipedia.org/wiki/Kolmogo...rnov_statistic wich gives 0,7 for (1) and 0,33 for (2) Can enyone post a simple numerical example of the use of this? As used in the PDF article. 

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