9. (8') Let X,, X,, X, be a sample of size n=3 from a distribution with unknown mean H, -0

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Chapter1: Combinatorial Analysis
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9. (8') Let X,, X,, X, be a sample of size n=3 from a distribution with
unknown mean u,
-0 < u<0, where the variance o is a known positive
number. Show that both à =i and ê, = 2X, + X, +5X, are unbiased estimators for
H.
Transcribed Image Text:9. (8') Let X,, X,, X, be a sample of size n=3 from a distribution with unknown mean u, -0 < u<0, where the variance o is a known positive number. Show that both à =i and ê, = 2X, + X, +5X, are unbiased estimators for H.
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