Consider an arbitrary parameter δ.If we identify an estimator such that , then:
A) .
B) is unbiased for
C) the maximum likelihood value for is
D) the exponential value for is .

Question

Consider an arbitrary parameter δ.If we identify an estimator  such that  , then:
A) . 
B) is unbiased for 
C) the maximum likelihood value for is 
D) the exponential value for is .

Quizplus · Accepted Answer

Since 11eb86f3_5f6a_5126_883a_53de3a38df88_TB8195_11, we know that E[11eb86f3_5f6a_5126_883a_53de3a38df88_TB8195_11] = δ. 
Then, by taking the expectation of both sides of the given equation, we have E[11eb86f3_5f6a_5128_883a_3711947281bd_TB8195_11] = δ. 
Thus, 11eb86f3_5f6a_5128_883a_3711947281bd_TB8195_11 is an unbiased estimator for δ.

Consider an Arbitrary Parameter δ