10-34. It is known that forXaN(, ) random variable, the maximum likelihood estimator of 2 is T...

10-34. It is known that forXaN(μ, σ) random variable, the maximum likelihood estimator of σ2 is ˆT = S2 1

= 1n

ni

=1(Xi − X)2 and that T is a biased estimator of σ2. Demonstrate that the bias goes to zero as n→∞.