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Let X1, X2, X3 be a random sample from a population. The distribution of the population...

Let X1, X2, X3 be a random sample from a population. The distribution of the population has a parameter θ, and it is known that E[Xi] = 2θ and Var[Xi] = σ2 for i = 1,2,3. Consider the following two point estimators for θ:

W1= (1/8)X1+ (1/4)X2+ (1/8)X3 and W2= (1/6)X1+ (1/4)X2+ (1/12)X3

Which is the better estimator for θ? Why?

Math   Statistics-And-Probability   
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