Let X be a geometric random variable with parameter p. Find the maximum likelihood estimator of p, based on a random sample of size n.
Consider the probability density function
f(x) = c(1+ Theta), -1< x< 1
(a) Find the value of the constant c.
(b) What is the moment estimator for Theta
(c) Show that Theta bar 1 = 3X bar is an unbiased estimator for Theta
(d) Find the maximum likelihood estimator for Theta.