I am learning about the MLE. I got can do the proof of the Poisson distribution, which I learned from a video. The multiplication summation was a new thing for me, but I think I understand it. I can do the MLE of Poisson now correctly.
I'm still struggeling with the Pareto MLE. I also make use here of the multiplication summation and the rule ln(π) = Σ, because ln(a*b) = ln(a) + ln(b).
In the solution of the Pareto, there is a summation sign in the denominator, but it should be a muliplication summation. I don't see why.
Question:
- Why is there a multiplication summation in the Pareto MLE, but a summation in the Poisson?
- Why do I get a summation sign in my final answer of the pareto MLE, where it actually should me a multiplication summation?
Ter