Suppose you have a set of items, labeled , and you have evaluated relative frequencies, call them empirical probabilities,
. How could you go about testing if the data are drawn from a Poisson distribution using the goodness-of-fit test?
In general, if you would like to know which distribution data is drawn from, is there any particular method?
Oh, yes. I am familiar with the test procedure. The point where I am stuck is the theoretical probability evaluation, which is then subtracted from the empirical , squared and divided by theoretical probabilities. But, my difficulty is the evaluation of theoretical probabilities. I wanted to test for Poisson, and I am stuck on how to evaluate the Poisson probabilities.
All in all, I have observed probabilities (I do have the absolute frequencies, as well). The first few entries have the following values:
. So, you can image, I suppose, the way this discrete distribution looks like. If not Poisson, then what other theoretical distribution would you recommend to consider?