Sorry if this type of question is not kosher. I'm new around here, so please forgive me.
Anyway, I have a dataset that describes the probability that users will like certain articles from my corpus (with 5 articles chosen randomly and graphed below. Along the x axis are individual users, and along the y-axis their score. The users are sorted by score.)
I'm looking to fit a distribution to each line, but am unsure of which one to choose that would likely best these lines. I was thinking of using an exponential distribution? But there's a lot of information that exponential probably would not capture here. Does anyone have a good idea?
EDIT: I will update my title to include the name of a reasonable distribution so that this question will be more searchable and others would possibly learn from it in the future.