10-16. Suppose {X1,X2, . . . ,Xn} is a set of sample random variables drawn from a N(μ, σ) population. Consider two estimators for μ:

T1 =

n

i=1 Xi n + 1

, T2 = 1 2

Xi + 1 2n n

i=2 Xi.

Which of these two estimators has the largest bias? Are these estimators efficient? Are T1 and T2 asymptotically unbiased? Are they consistent?

Are they asymptotically efficient?