A simple random sample of size n, X, X2, and variance o. Consider the following estimators...

 

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A simple random sample of size n, X₁, X2, and variance o². Consider the following estimators of μ μ₁ = 0.5X₁ + Xn is drawn from a population with mean n Σ Xi i=2 and μ₂ = n-1 Σ Xi 2n Explain which estimator is consistent. Why is the concept of consistency useful? (8 marks) n A simple random sample of size n, X₁, X2, and variance o². Consider the following estimators of μ μ₁ = 0.5X₁ + Xn is drawn from a population with mean n Σ Xi i=2 and μ₂ = n-1 Σ Xi 2n Explain which estimator is consistent. Why is the concept of consistency useful? (8 marks) n

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The first estimator with the sample size 2n is consistent with the population paramet... View the full answer