Suppose that X follows a geometric distribution P(X = x) = p(1-p)*-1 and assume a i.i.d. sample size of n. 1.1. Find the
Posted: Wed May 11, 2022 5:55 am
Suppose that X follows a geometric distribution P(X = x) = p(1-p)*-1 and assume a i.i.d. sample size of n. 1.1. Find the moment of moments estimator of p. 1.2. Find the MLE of p. 1.3. Is this MLE an unbiased estimator? (2) (3) (2) (6) 1.4. Find the asymptotic variance of the MLE. 1.5. Is the MLE consistent? (4) 1.6. Is the MLE efficient? (4)