Let X1, X2, ... , Xn be a random sample from a distribution with pdf f(x; ) = x1, 0 < x < 1, where 0 < . (a) Find a sufficient statistic Y for . (b) Show that the maximum likelihood estimator 6 is a function of Y. (c) Argue that 6 is also sufficient for .

STAT 113: Statistics and Society Fall 2016, ONLINE Syllabus Lecturer: Ellen Gundlach Email: gundlach@purdue.edu (best way to contact) Office: HAAS 114 (phone: 765-496-6875) T.A.: Yixi Xu, xu573@purdue.edu Office hours: Most questions and problems can be handled through e-mail. If you send your TA...