Assume that X1, X2, ...., Xn N(4, 22) and Y1, Y2; ..., Ym - N(0, o?)....

Transcribed Image Text:

Assume that X1, X2, ...., Xn N(4, 22) and Y1, Y2; ..., Ym - N(0, o?). - a)) Find the Cramer-Rao Lower Bound (CRLB) for the variances of the unbiased estimators of H b)Find the CRLB for the variances of the unbiased estimators of o?. c)ls the MLE, ", a uniformly minimum variance unbiased estimator (UMVUE) of H. d) Is the MLE of the 90th percentile a UMVUE? e)ls the MLE, ô2 , a UMVUE of o?? Assume that X1, X2, ...., Xn N(4, 22) and Y1, Y2; ..., Ym - N(0, o?). - a)) Find the Cramer-Rao Lower Bound (CRLB) for the variances of the unbiased estimators of H b)Find the CRLB for the variances of the unbiased estimators of o?. c)ls the MLE, ", a uniformly minimum variance unbiased estimator (UMVUE) of H. d) Is the MLE of the 90th percentile a UMVUE? e)ls the MLE, ô2 , a UMVUE of o??