where a > 0 is known. a Find the MLE ô of 0. b Find the expected value and variance of ê. c. Is the MLE ô an unbiased estimator for 0?

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Let Y1, Y2,..., Y, denote a random sample from the density function given by
1
yª-'e=y/®, y> 0,
f(y[a, 0) =
elsewhere,
where a > 0 is known.
a Find the MLE Ô of 0.
b Find the expected value and variance of ê.
c. Is the MLE ô an unbiased estimator for 0?
Transcribed Image Text:Let Y1, Y2,..., Y, denote a random sample from the density function given by 1 yª-'e=y/®, y> 0, f(y[a, 0) = elsewhere, where a > 0 is known. a Find the MLE Ô of 0. b Find the expected value and variance of ê. c. Is the MLE ô an unbiased estimator for 0?
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