en} be a random sample of e. e~ N(0, o²), where o >0. Let Y, = a+ e;, for Let {e,, e2, ', i = 1, ·.,nand some a > 0. To estimate the unknown parameter a with data {y, the following estimator G: ', Yn} , consider n G 25Y,+ max{Y 1, Y m} Y n} 3n Which of the following statements is correct? O a. G is an unbiased estimator. O b. E(G) = 0 O C. E(G) > a O d. E(G) < a O e. G is an biased estimator, but there is no way to know that whether E(G) < 0 or E(G) > 0.

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Chapter1: Combinatorial Analysis
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for
, en} be a random sample of e. e -
N (0, o?), where o? >0. Let Y, = a +
Let {e1, e2,
i = 1,
...,n and some a > 0. To estimate the unknown parameter a with data {y, ., yn}, consider
the following estimator G:
ΣΥ,+ Jmax (Υ), Υ)
max{Y 1, Y n}
G
3n
Which of the following statements is correct?
O a. G is an unbiased estimator.
O b. E(G) = 0
O C. E(G) > a
O d. E(G) < a
O e. G is an biased estimator, but there is no way to know that whether E(G) < 0 or E(G) > 0.
Transcribed Image Text:for , en} be a random sample of e. e - N (0, o?), where o? >0. Let Y, = a + Let {e1, e2, i = 1, ...,n and some a > 0. To estimate the unknown parameter a with data {y, ., yn}, consider the following estimator G: ΣΥ,+ Jmax (Υ), Υ) max{Y 1, Y n} G 3n Which of the following statements is correct? O a. G is an unbiased estimator. O b. E(G) = 0 O C. E(G) > a O d. E(G) < a O e. G is an biased estimator, but there is no way to know that whether E(G) < 0 or E(G) > 0.
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