Question: Normal distribution Let 1:1,. .. ,1}, ~ MM}, 3 > u. (a) Find the mie of 5-, MLE. (12:) Find the Fisher information I09}. (1:)

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Normal distribution Let 1:1,. .. ,1}, ~ MM}, 3 > u. (a) Find the mie of 5-, MLE. (12:) Find the Fisher information I09}. (1:) Find the Rab-Cramer bound for H. (d) We know 13(50): 9, where 32 = i 23:19;- If)? Suppose we use 32 to estimate 9 despite that we knew 32 is not an niie. What can you say to compare HMLE and 8'2 in terms of variance? Hint: Use the fact that (n USE}? has :n 1} distribution

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