With reference to the uniform population of Example 10.4, use the definition of consistency to show that Yn, the nth order statistic, is a consistent estimator of the parameter β.
Example 10.4
If X1, X2, . . . , Xn constitute a random sample from a uniform population with α = 0, show that the largest sample value (that is, the nth order statistic, Yn) is a biased estimator of the parameter β. Also, modify this estimator of β to make it unbiased