Quote from: ryouiki on August 15, 2011, 01:42:30 PM

My simulator uses randomly generated round shares that are generated with simple algorithm mimics block finding procedure. (poisson process) To get statistically meaningful result, I used high quallity Mersenne Twister as a base pseudo-random generator.

pseudo code:

Code:

var sparseness = RAND_MAX / BTC_DIFFICULTY;
var roundShare = 0
while (true)
{
++roundShare;
if (MTrand() < sparseness) break;
}
return roundShare;

table of generated 120k round shares : http://cl.ly/8wg3

I plotted your sample:

and a sample I produced:

Please excuse the missing labels. x-axis is number of shares (in percentage of difficulty), y-axis is number of occurances (summing over windows of 10000 shares).

The results differ slightly, most significantly at around 0.