Find distribution of the data from Q-Q plot

With 10 thousands, Monte Carlo simulation, I have generated the Q-Q plot Is it possible to infer what distribution follows my sample?

I'm new to Q-Q plot.
As far as I understand, the sample is not normal distributed because the dot are not on the line.
But, then, which distribution behave like that?

This is related to this question.

Edit
To give an idea of the data, here is the empirical cumulative distribution function of the sample • You're correct, this data is certainly non-Normal. I'm not sure that, one can generally work backward from a Q-Q plot to find the underlying distribution (without significant trial-and-error or assumptions of the data). What does the data itself look like? – user32490 Mar 27 '14 at 19:34
• You won't get a functional form from a sample. However, you can see particular information from the QQ plot that may help in identifying a reasonable model. The data are plainly quite left-skew, with a heavy tail on that side, and they seem to have 0 (or a value close to in on this scale) as an upper bound. – Glen_b Mar 27 '14 at 23:58
• @leonardo I have added the empirical cdf of the data, to give an idea of what they look like. At least, from the Q-Q plot, I would like to derive a few good families of distributions for my fitting trials. – user21186 Mar 28 '14 at 0:42
• I think you're over-complicating this. If you just want to know the approximate distribution of the data, why not just plot the histogram and do a curve fit instead? – rocinante Mar 28 '14 at 4:48