A good day together,

I've attached a notebook to this post. The brief remarks, as well as the commands, are written in the notebook.

I need to figure out what the log-likelihood value is. As an example, I have a recurrence formula.

In order to compute MLE, which I believe is a general method, I need to generate probability mass function expressions.

I've been using Mathematica for the past five years. But I've never seen such a long list of large expressions before.

I can't even get to the elements of the list. I've been sitting for over a week trying to figure out the results. I'm at a loss for further ideas.

Please help on this matter.

What is the best way to deal with this problem?