Question: Given a random sample {y 1 , y 2 , , y n } drawn from N(0, s 2 ). We construct the estimator of

  1. Given a random sample {y1, y2, …, yn} drawn from N(0, s2). We construct the estimator of s2 as follows:

Answer the following questions:

(1) If estimator s2 is unbiased, what should be the value of d? Demonstrate your claim mathematically.

(2) Given d in (1), is s an unbiased estimator of ? Explain briefly.

(3) Given d in (1), is s a consistent estimator of ?  Explain briefly.

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