We have a random sample of observations on X: x1, x2, x3, x4,…,xn. Consider the following...

We have a random sample of observations on X: x1, x2, x3, x4,…,xn. Consider the following estimator of the population mean: x* = x1/2 + x2/4 + x3/4. This estimator uses only the first three observations.

a) Prove that x* is an unbiased estimator.

b) Derive the variance of x*

c) Is x* an efficient estimator? A consistent estimator? Explain.

Expert Solution

Had solved all the parts but not in an asked manner, so go through the complete solution once .

Rahul Sunny answered 2 years ago

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