Question: Suppose there is a random sample with n=4, below are two estimators of 1 =(1/10)x 1 +(1/5)x 2 +(1/5)x 3 +(1/2)x 4 2 =(1/6)x 1

Suppose there is a random sample with n=4, below are two estimators of

1=(1/10)x1+(1/5)x2+(1/5)x3+(1/2)x4

2=(1/6)x1+(1/4)x2+(1/4)x3+(1/3)x4

  • Are the two estimators unbiased or biased for ?
  • Compute the MSE of each estimator
  • Which estimator is better, why?

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