Cumulative distribution for y:
(you will find it advantageous if you describe what you are trying to do in words before embarking on the symbolic manipulations)
CB
, which is a fixed known value, and is unknown. Consider the estimator
a) show that is a biased estimator for .
b) Find a multiple of that is an unbiased estimator of .
Solutions:
a)
now for the
now therefore it's biased.
b) for it to be an unbiased estimator.
is this correct?