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Let 01 and 02 be two unbiased estimators of the parameter 0. They also have the same variance and are independent. Consider two further estimators

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Let 01 and 02 be two unbiased estimators of the parameter 0. They also have the same variance and are independent. Consider two further estimators of 0 defined as: 03 = 01 + 02 and 04 = 201 + 02 2 3 i. Check whether 03 and 04 are unbiased estimators of 0. (4 marks) ii. Which one of the three estimators 01, 03 and 04 is the best and which one is the worst? Justify your answer. (6 marks)

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