Question

Probability and Statistical Inference (10th Edition)

Chapter 6: Point Estimation; Section 6.4: Maximum Likelihood and Moment of Methods Estimation

Exercise 6.4-10

6.4-10. Let X₁,X₂,...,X_n be a random sample of size n from a geometric distribution for which p is the probability of success.

(a) Use the method of moments to find a point estimate for p.

(b) Explain intuitively why your estimate makes good sense.

(c) Use the following data to give a point estimate of p:

3, 34, 7, 4, 19, 2, 1, 19, 43, 2

22, 4, 19, 11, 7, 1, 2, 21, 15, 16

Answer 1