Let Y₁, Y₂,..., Y, denote a random sample from the uniform distribution on the interval (0, 0+1). Let 8₁=7 and 8₂= Y() a Show that both , and ₂ are unbiased estimators of 0. b Find the efficiency of , relative to ₂. n+1

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9.3
Let Y₁, Y₂,..., Y, denote a random sample from the uniform distribution on the interval
(0, 0+1). Let
0 =Y-; and O=Y).
a Show that both ₁ and ₂ are unbiased estimators of 0.
b Find the efficiency of 8₁ relative to ₂.
n
n+1
Transcribed Image Text:9.3 Let Y₁, Y₂,..., Y, denote a random sample from the uniform distribution on the interval (0, 0+1). Let 0 =Y-; and O=Y). a Show that both ₁ and ₂ are unbiased estimators of 0. b Find the efficiency of 8₁ relative to ₂. n n+1
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