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Competitive Stats
Q46Section I (Objective (Q1–Q80))46 of 80

Statistical Inference — consistency of two mean estimators

(Continuing the previous setup with μ^1,n=Xn\hat\mu_{1,n} = X_n and μ^2,n=1n+1∑i=1nXi\hat\mu_{2,n} = \frac{1}{n+1}\sum_{i=1}^{n}X_i.) Consider the following statements: I. μ^1,n\hat\mu_{1,n} is a consistent estimator of μ\mu. II. μ^2,n\hat\mu_{2,n} is a consistent estimator of μ\mu. Which of the statements given above is/are correct?

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