General Studies · Statistical Inference
Let θ̂1 and θ̂2 be unbiased estimators of θ. I. Lower variance implies higher efficiency. II. Consistency implies unbiasedness. III. An estimator can be unbiased but inconsistent. IV. Mean squared error equals variance for unbiased estimators. Which of the statements given above are correct?
- 1I, II, III and IV
- 2II and IV only
- 3I, III and IV only✓
- 4I and IV only
Correct answer
I, III and IV only
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