I have recently gathered a large amount of data, representing the time elapsed (in seconds) between two consecutive comments on the same post of a social network website.
I want to find a probability distribution giving a close approximation of these results. I was initially thinking that a geometric distribution would be the best, but the distribution of this data looks as follows (only pictured up to 60, but it goes much farther):
I have looked into several other distributions (beta, gamma, poisson, exponential...), but I can't seem to make them fit these results, even approximately.
What kind of distribution should I be looking into to model this situation?
The gamma fit fails entirely during the gradient computing phase.
Min. 1st Qu. Median Mean 3rd Qu. Max. 1.0 6.0 13.0 488.2 57.0 1716000.0 stddev Q90% Q99% 6364.06 435 10113.24