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# Question [12 pts]Let X1;Xz;- Xn be random sample from gamma population with parameters where 1S5 known with pdfand 8=f(i;a,8) = 1" - e-r/a, BoT(a) for I > 0...

## Question

###### Question [12 pts]Let X1;Xz;- Xn be random sample from gamma population with parameters where 1S5 known with pdfand 8=f(i;a,8) = 1" - e-r/a, BoT(a) for I > 0, a > 0, 8 > 0. Find maximum likelihood estimators (MLEs ) for(ii) t = (28 _ 1)2.Show that MLE 3 is efficient estimator of 8. Find the asymptotic distribution of Vn(f where is definedpartabove

Question [12 pts] Let X1;Xz;- Xn be random sample from gamma population with parameters where 1S5 known with pdf and 8= f(i;a,8) = 1" - e-r/a, BoT(a) for I > 0, a > 0, 8 > 0. Find maximum likelihood estimators (MLEs ) for (ii) t = (28 _ 1)2. Show that MLE 3 is efficient estimator of 8. Find the asymptotic distribution of Vn(f where is defined part above

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