Refer to Exercise 3.86. The maximum likelihood estimator for p is 1 / Y (note that Y
Question:
Reference
Consider an extension of the situation discussed in Example 3.13. If we observe y0 as the value for a geometric random variable Y , show that P(Y = y0) is maximized when p = 1/y0. Again, we are determining (in general this time) the value of p that maximizes the probability of the value of Y that we actually observed.
Reference
Suppose that we interview successive individuals working for the large company discussed in Example 3.10 and stop interviewing when we find the first person who likes the policy. If the fifth person interviewed is the first one who favors the new policy, find an estimate for p, the true but unknown proportion of employees who favor the new policy.
Introduction to Mathematical Statistics and Its Applications
ISBN: 978-0321693945
5th edition
Authors: Richard J. Larsen, Morris L. Marx