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:
table of generated 120k round shares : http://cl.ly/8wg3
pseudo code:
Code:
var sparseness = RAND_MAX / BTC_DIFFICULTY;
var roundShare = 0
while (true)
{
++roundShare;
if (MTrand() < sparseness) break;
}
return roundShare;
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.