Unformatted text preview: FRE 6083 Homework 5 Question 1 Is the mid-range, 1/2( + ) a statistic? Question 2 Show that the average of the ﬁrst two observations in a random sample is unbiased but not consistent, in estimating a population mean. Question 3 Show that if is an unbiased estimator of , then Is 2 an unbiased estimator of 2 ? Question 4 Determine joint maximum likelihood estimators for on ( 1 , 2 ). What is then the mle of the range 2 − 1 ?
1 + is an unbiased estimator of +. and 2 for a population that is uniform 1 ...
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- Spring '11
- Maximum likelihood, Estimation theory, Bias of an estimator, unbiased estimator