Let Y1,,Yn be i.i.d. random variables with pdff(y)=(2y)exp(y2),y>0 (Weibull distribution). Show that
^=ni=1nYi2 is unbiased estimator of . Is ^ an efficient estimator of ?.
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Let Y1Yn be iid random variables with pdffy2yexp.pdf
1. Let Y1,,Yn be i.i.d. random variables with pdff(y)=(2y)exp(y2),y>0 (Weibull distribution). Show that
^=ni=1nYi2 is unbiased estimator of . Is ^ an efficient estimator of ?