Problem 4: Let X1, X2,..., Xn be a random sample of size n from the uniform population given by 1 1 for 0 2 0 elsewhere. 1 f(x;0) Show that if Y1 and Yn are the first and nth order statistic, any...

Extracted text: Problem 4: Let X1, X2,..., Xn be a random sample of size n from the uniform population given by 1 1 for 0 2 0 elsewhere. 1 f(x;0) Show that if Y1 and Yn are the first and nth order statistic, any estimator such that 1 1 n 2 2 can serve as a maximum likelihood estimator of 0. What does this say the uniqueness of the maximum likelihood estimator about