Problem 2 rove the following: a. If O1 is an unbiased estimator for 0, and W is a zero me Ô2 = Ô1 + W is also an unbiased estimator for 0. b. If O1 is an estimator for 0 such that EO1 = a0 + b, w O1-6 %3D a is iased es

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Problem 2
Prove the following:
a. If O, is an unbiased estimator for 0, and W is a zero mean random variable, then
Ô2 = Ô1 + W
is also an unbiased estimator for 0.
b. If O1 is an estimator for 0 such that E01] = a0 + b, where a + 0, show that
Ô1 - 6
a
is an unbiased estimator for 0.
Transcribed Image Text:Problem 2 Prove the following: a. If O, is an unbiased estimator for 0, and W is a zero mean random variable, then Ô2 = Ô1 + W is also an unbiased estimator for 0. b. If O1 is an estimator for 0 such that E01] = a0 + b, where a + 0, show that Ô1 - 6 a is an unbiased estimator for 0.
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