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Posted: **Wed May 11, 2022 8:29 pm**

: 6 Let X1 X2 Xn Be A Random Sample From A Distribution With Mean Y And Variance O2 And Consider The Estimators N 1 (73.09 KiB) Viewed 24 times

: 6 Let X1 X2 Xn Be A Random Sample From A Distribution With Mean Y And Variance O2 And Consider The Estimators N 2 (98.69 KiB) Viewed 24 times

6. Let X1, X2, ..., Xn be a random sample from a distribution with mean y and variance o2 and consider the estimators n-1 1 în = X, Û2 = n+1x, X, Â3 = ΣΧ. п n - i=1

Derive the asymptotic distribution of Û2 (4 marks) Derive the asymptotic distribution of eſ2 (4 marks) Suppose now that the distribution of the random sample is that from question 5. Does hz attain the Cramer-Rao Lower bound? Justify your answer (5 marks)