Hi all,

I have been going through a practice paper for an exam I have on Friday and have found a question that I don't think we've been taught. Could anyone shed some light on the following question:

I'm not asking for the question to be solved, but if someone point me in the right direction, I'd be very grateful.Letx1,x2,....,xnbe a random sample from a population whose probability density is given by

$\displaystyle f(x) = \theta x^ {\theta - 1}, 0<x<1, \theta>1$

Show that the maximum likelihood estimator of 1/qis -Slnx$\displaystyle _i$/n, and that this estimator is unbiased.

Thanks in advance,

ft_fan