I'm trying to estimate the probability of success when I'm given data where a certain number of successes (k) occur in a certain number of trials (n).
IOW, instead of trying to figure out the chances of k successes given n trials and a probability (p) (whcih I know how to do). I'm trying to estimate p when given k successes and n trials. An important note is that all potential values for p between 0 and 1 are equally likely.
I can't seem to wrap my head around all of the Bayesian inference stuff I'm reading. I understand exactly what needs to be done involving the integral calculus, I just can't do it. Integration by parts just seems to lead to a never ending process.