Let X₁, X₂,..., Xn be i.i.d. samples with pdf (G) 0 > 0, 0 fe (X) = 0 < X < 0, Otherwise. Assume: 1 Estimator 1 is ê= 2 X. 2 Estimator 2 is Ô = X(n). Answer the following questions: Q1 Are these estimators unbiased? Q2 Are these estimators consistent?

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Let
fo(X) = {(1/7)
0
X₁, X₂,..., Xn be i.i.d. samples with pdf
0 < X < 0,
0 > 0,
Otherwise.
Assume:
1 Estimator 1 is Ô = 2 X.
2 Estimator 2 is Ô = X(n).
Answer the following questions:
Q1 Are these estimators unbiased?
Q2 Are these estimators consistent?
Transcribed Image Text:Let fo(X) = {(1/7) 0 X₁, X₂,..., Xn be i.i.d. samples with pdf 0 < X < 0, 0 > 0, Otherwise. Assume: 1 Estimator 1 is Ô = 2 X. 2 Estimator 2 is Ô = X(n). Answer the following questions: Q1 Are these estimators unbiased? Q2 Are these estimators consistent?
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