I was playing with R, I started with adding consecutive binomials (the n parameter of the second binomial variable depends of the result of the first binomial and so on...). After a few more operations I got this histogram. I was trying to model something.
This is just me having "fun". After a few frustrating attempts, I gave up on deriving a theoretical distribution for it.
I decided to simply pick a distribution have a fit, and see if I can justify. But even for this I am stuck! I tried a few, but none of them seem to have the right combination of skewness, mean and variance.
To sum up, the question is simple, do you know any probability distribution shaped like this (continuous or discrete)? (this histogram is for a discrete distribution, the frequencies before 3 are 0, and 7 gave me 1))