Zipf distribution

I have an unknown zipf distribution with unknown number of objects. Suppose I select n1, n2…samples from the distribution and I get u1, u2…unique samples respectively, can I determine the parameters of the distribution including the total number of objects? Is it possible to obtain the confidence intervals?


Active Member
Does your data look like this? ...
3rd most likely 270 things
5th most likely 60 things
10th most likely 8 things
Thanks hlsmith and katxt for the reply.
Yes, I can dertermine nth most likely m objects from the data I have. Will n=N and m=k in zipf's distribution? How do I determine the exponent 's'?