Let Y1 , Y2 , . . . , Yn denote a random sample from the...

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Let Y1 , Y2 , . . . , Yn denote a random sample from the...

Let Y1 , Y2 , . . . , Yn denote a random sample from the uniform distribution on the interval (θ, θ+1). Let

$\widehat{\theta ^{_{1}}}=\overline{Y}-\frac{1}{2},\, \widehat{\theta_{2} }= Y_{(n)}-\frac{n}{n-1}$

a. Show that both ? ̂1 and ? ̂2 are unbiased estimators of θ.

math Statistics-And-Probability

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Answer 1

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let I.... In be rv. from pdf ufy fly 7= Solysat1 Uco, ott) Edfofy - 2 0 2 OH FY CY ) = (Y-0) the know that E(Y) = 2004 if xuu

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