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?
EDIT: I can't really access MatLab, but I do have RStudio. Using fitdistr from the MASS package, a Weibull fit gives me parameters of 0.41501 and 69.57486, which seems quite bad here (orange = fit):
The gamma fit fails entirely during the gradient computing phase.
R summary:
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