Question

In: Statistics and Probability

et, X 1 , X 2 , X 3 , . . . . . ....

et, X 1 , X 2 , X 3 , . . . . . . . . . . . . . , X 2 n , w h e r e n = 5 , be a independent random sample of size 10 from population having mean μ = 5 and standard deviation σ = 2 . Consider the following estimators of μ :

a= x1+x2+x3.....x2n/2n

a2=(3x1-x2+2x3)/3

What about the unbiasedness of the estimators?

The second one is unbiased, and the bias for the first one is 1.

Both estimators are biased, and the amount of bias are 1 and 1.667, respectively.

Both estimators are unbiased.

The first estimator is unbiased and the bias for the second one is 1.667.

b) What is the mean square error (MSE) of the first estimator?

c) What is the mean square error (MSE) of the second estimator?

Solutions

Expert Solution

orchestra answered 1 year ago
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