Let X1, X2,..., Xn be a random sample from a distribution with a pdf ke-ka, x > 0 f (x) = 0, elsewhere. (a) Is ô = !" X; an unbiased estimator of ? Justify. (b) Is â = min{X1, X2, ... , X,} an unbiased estimator of ? Justify.

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Let X1, X2,..., X, be a random sample from a distribution with a pdf
ke-kx
x > 0
f (x) =
0, elsewhere.
(a) Is ô = E-; X; an unbiased estimator of ? Justify.
i=i
(b) Is â = min{X1, X2,... , Xn} an unbiased estimator of t? Justify.
Transcribed Image Text:Let X1, X2,..., X, be a random sample from a distribution with a pdf ke-kx x > 0 f (x) = 0, elsewhere. (a) Is ô = E-; X; an unbiased estimator of ? Justify. i=i (b) Is â = min{X1, X2,... , Xn} an unbiased estimator of t? Justify.
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