Find a general formula for the MLE for p

[ianrice]

An experiment consists of giving a sequences of patients a risky treatment until two have died, and then recording N, the number who survived. If p is the proportion killed by the treatment, then the distribution of N is:

P(N=n)=((n+1)(1-p)^n)p^2


Find a general formula for the MLE for p:


The experiment is done in 8 hospitals, and the observed values of N are 3, 0, 4, 2, 3, 5, 1,3. Compute the estimate for p derived in part (a)

 

[Stephen Tashi]

This looks like a homework question or a risky experiment. If it's homework, it should be posted in a different section of the forum along with a statement of your attempts. If this was a risky experiment, please describe all the details.

 

[Mark44]

As Stephen said, questions of this nature must be posted in the Homework & Coursework sections, not in the technical math sections. I am closing this thread. You are welcome to repost in the HW & CW sections.