# Question

Suppose that x1 and x2 are random samples of observations from a population with mean m and variance σ2. Consider the following three point estimators, X, Y, Z, of μ:

a. Show that all three estimators are unbiased.

b. Which of the estimators is the most efficient?

c. Find the relative efficiency of X with respect to each of the other two estimators.

a. Show that all three estimators are unbiased.

b. Which of the estimators is the most efficient?

c. Find the relative efficiency of X with respect to each of the other two estimators.

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