Let ?1, ?2,…. . , ?? (n random variables iid) as a
variable X whose pdf is given by ??-a-1
for ? ≥1.
(a) For ? ≥ 1 calculate ? (??? ≤ ?) = ? (?). Deduce the function
density of probabilities of Y = lnX.
(b) Determine the maximum likelihood estimator (MLE) of ?
and show that he is without biais
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