I need to estimate a parameter for Binomially distributed variable.
Suppose I want to estimate the probability of hitting the target. I first do 5 trials out of which I hit the target twice.
Then I try again for another 5 times and this time I hit the target only once.
Now i know how to find the probability estimator for each of these cases separately (I would end up with p=2/5 after the 1st experiment and p=1/5 after the second), but what happens if I have 2 experiments/sets of trials like that. How does this change the procedure? I would still like to find the MLE based on all the data that I have.